mersenneforum.org Computing divisors from complete factorization
 Register FAQ Search Today's Posts Mark Forums Read

 2021-10-03, 13:57 #1 alpertron     Aug 2002 Buenos Aires, Argentina 5D616 Posts Computing divisors from complete factorization I would like to generate the divisors of a number from its complete factorization in powers of prime numbers. It is very easy to generate all of them if I do not need to be sorted, but I would like to show them in ascending order. Is there any way to do show the complete list of divisors without generating all of them and then sorting them? The number may have millions of divisors (this is the case for primorials and factorials). The idea is to show the list of divisors in batches of up to 1000 divisors. The user can continue asking for more divisors or cancel the generation of the list. Last fiddled with by alpertron on 2021-10-03 at 14:12
2021-10-03, 16:05   #2
a1call

"Rashid Naimi"
Oct 2015
Remote to Here/There

91F16 Posts

Pari-gp code:
Code:
fordiv(5!, X, print(X))

Code:
1
2
3
4
5
6
8
10
12
15
20
24
30
40
60
120

Quote:
 fordiv(n, X, seq) Evaluates seq, where the formal variable X ranges through the divisors of n (see divisors, which is used as a subroutine). It is assumed that factor can handle n, without negative exponents. Instead of n, it is possible to input a factorization matrix, i.e. the output of factor(n). This routine uses divisors as a subroutine, then loops over the divisors. In particular, if n is an integer, divisors are sorted by increasing size. To avoid storing all divisors, possibly using a lot of memory, the following (slower) routine loops over the divisors using essentially constant space: Code: FORDIV(N)= { my(F = factor(N), P = F[,1], E = F[,2]); forvec(v = vector(#E, i, [0,E[i]]), X = factorback(P, v)); } ? for(i=1, 10^6, FORDIV(i)) time = 11,180 ms. ? for(i=1, 10^6, fordiv(i, d, )) time = 2,667 ms.
https://pari.math.u-bordeaux.fr/dochtml/html-stable/

Last fiddled with by a1call on 2021-10-03 at 16:14

 2021-10-04, 00:23 #3 alpertron     Aug 2002 Buenos Aires, Argentina 149410 Posts Thanks, but it does not help me. As a test, I entered: Code: FORDIV(N)= { my(F = factor(N), P = F[,1], E = F[,2]); forvec(v = vector(#E, i, [0,E[i]]), print(factorback(P, v))); } Then gp shows the list of divisors of 36 as: Code: (21:19) gp > print(FORDIV(36)); 1 3 9 2 6 18 4 12 36 0 Apart from the extra zero, the divisors are not sorted in ascending order as I need.
 2021-10-04, 00:47 #4 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 5·467 Posts You can use fordiv() to get sorted results but you will be limited by amount of memory that can store the divisors. If you use the memory limiting function then you will have to sort the results yourself. If the divisors exceed the allocated memory, then you would need to use external files and things will be very slow with Pari. So if you can fit all the divisors in the memory there are no issues: Code: fordiv(36, X, print(X)) Code: 1 2 3 4 6 9 12 18 36
 2021-10-04, 00:56 #5 alpertron     Aug 2002 Buenos Aires, Argentina 149410 Posts From my first post, you can see that I cannot sort the divisors. There may be millions of divisors, but I have to generate the smallest 1000 of them. After the user presses a button, the program has to show the next 1000 divisors and so on. I cannot sort the divisors because there is no memory to hold the complete list.
 2021-10-04, 01:05 #6 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 5·467 Posts Knowing all the prime factors and their recurrence cannot give you sorted divisors without sorting or brute force for general/arbitrary cases. Not sure what scenario would not have any memory at all. If you could store 1000 integers and if time is not a factor you could go through all the "millions" of divisors and only store 1st, then 2nd, ... smallest 1000 in the range you find, each time. Last fiddled with by a1call on 2021-10-04 at 01:07
 2021-10-04, 01:24 #7 alpertron     Aug 2002 Buenos Aires, Argentina 5D616 Posts Ok. Let's use an example: the number is 100! I know its complete factorization. I want to show the first 1000 divisors, then the next 1000 divisors and so on.
 2021-10-04, 03:03 #8 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 1001000111112 Posts I am a slow coder, but to get my point across here is a dirty, inefficient and incomplete code. Pari-gp code: Code: \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ factorialFace=23 theregister=100 theThou = vector(theregister+1); FORDIVSort(N,lowerRange)= { my(F = factor(N), P = F[,1], E = F[,2]); theCounter=0; forvec(v = vector(#E, i, [0,E[i]]), a=factorback(P, v); if(a>lowerRange, theCounter=theCounter+1; if(theCounter>theregister+1,theCounter=theregister+1;theThou=vecsort(theThou);); theThou[theCounter]=a; ); \\print(a); ); print("***********"); print(theThou); return(theThou[theregister]); } theLow=1 while(theLow<2*factorialFace!,{ for(i=1,#theThou ,theThou [i]=1); theLow=FORDIVSort(factorialFace!,theLow); }) Code: *********** [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 60, 63, 64, 65, 66, 68, 69, 70, 72, 75, 76, 77, 78, 80, 81, 84, 85, 88, 90, 91, 92, 95, 96, 98, 99, 100, 102, 104, 105, 108, 110, 112, 114, 115, 117, 119, 120, 121, 125, 126, 128, 130, 132, 133, 135, 136, 138, 140, 143, 144, 147, 25852016738884976640000] *********** [150, 152, 153, 154, 156, 160, 161, 162, 165, 168, 170, 171, 175, 176, 180, 182, 184, 187, 189, 190, 192, 195, 196, 198, 200, 204, 207, 208, 209, 210, 216, 220, 221, 224, 225, 228, 230, 231, 234, 238, 240, 242, 243, 245, 247, 250, 252, 253, 255, 256, 260, 264, 266, 270, 272, 273, 275, 276, 280, 285, 286, 288, 294, 297, 299, 300, 304, 306, 308, 312, 315, 320, 322, 323, 324, 325, 330, 336, 340, 342, 343, 345, 350, 351, 352, 357, 360, 363, 364, 368, 374, 375, 378, 380, 384, 385, 390, 391, 392, 396, 25852016738884976640000] *********** [399, 400, 405, 408, 414, 416, 418, 420, 425, 429, 432, 437, 440, 441, 442, 448, 450, 455, 456, 459, 460, 462, 468, 475, 476, 480, 483, 484, 486, 490, 494, 495, 500, 504, 506, 510, 512, 513, 520, 525, 528, 532, 539, 540, 544, 546, 550, 552, 560, 561, 567, 570, 572, 575, 576, 585, 588, 594, 595, 598, 600, 605, 608, 612, 616, 621, 624, 625, 627, 630, 637, 640, 644, 646, 648, 650, 660, 663, 665, 672, 675, 680, 684, 686, 690, 693, 700, 702, 704, 714, 715, 720, 726, 728, 729, 735, 736, 741, 748, 750, 25852016738884976640000] *********** [756, 759, 760, 765, 768, 770, 780, 782, 784, 792, 798, 800, 805, 810, 816, 819, 825, 828, 832, 833, 836, 840, 847, 850, 855, 858, 864, 874, 875, 880, 882, 884, 891, 896, 897, 900, 910, 912, 918, 920, 924, 931, 935, 936, 945, 950, 952, 960, 966, 968, 969, 972, 975, 980, 988, 990, 1000, 1001, 1008, 1012, 1020, 1024, 1026, 1029, 1035, 1040, 1045, 1050, 1053, 1056, 1064, 1071, 1078, 1080, 1088, 1089, 1092, 1100, 1104, 1105, 1120, 1122, 1125, 1127, 1134, 1140, 1144, 1150, 1152, 1155, 1170, 1173, 1176, 1188, 1190, 1196, 1197, 1200, 1210, 1215, 25852016738884976640000] *********** [1216, 1224, 1225, 1232, 1235, 1242, 1248, 1250, 1254, 1260, 1265, 1274, 1275, 1280, 1287, 1288, 1292, 1296, 1300, 1309, 1311, 1320, 1323, 1326, 1330, 1344, 1350, 1360, 1365, 1368, 1372, 1375, 1377, 1380, 1386, 1400, 1404, 1408, 1425, 1428, 1430, 1440, 1449, 1452, 1456, 1458, 1463, 1470, 1472, 1482, 1485, 1495, 1496, 1500, 1512, 1518, 1520, 1530, 1536, 1539, 1540, 1547, 1560, 1564, 1568, 1573, 1575, 1584, 1596, 1600, 1610, 1615, 1617, 1620, 1625, 1632, 1638, 1650, 1656, 1664, 1666, 1672, 1680, 1683, 1694, 1700, 1701, 1710, 1715, 1716, 1725, 1728, 1729, 1748, 1750, 1755, 1760, 1764, 1768, 1771, 25852016738884976640000] *********** [1782, 1785, 1792, 1794, 1800, 1815, 1820, 1824, 1836, 1840, 1848, 1862, 1863, 1870, 1872, 1875, 1881, 1890, 1900, 1904, 1911, 1920, 1925, 1932, 1936, 1938, 1944, 1950, 1955, 1960, 1976, 1980, 1989, 1995, 2000, 2002, 2016, 2024, 2025, 2040, 2048, 2052, 2057, 2058, 2070, 2079, 2080, 2090, 2093, 2100, 2106, 2112, 2125, 2128, 2142, 2145, 2156, 2160, 2176, 2178, 2184, 2185, 2187, 2200, 2205, 2208, 2210, 2223, 2240, 2244, 2250, 2254, 2261, 2268, 2275, 2277, 2280, 2288, 2295, 2299, 2300, 2304, 2310, 2340, 2346, 2352, 2375, 2376, 2380, 2392, 2394, 2400, 2415, 2420, 2430, 2431, 2432, 2448, 2450, 2457, 25852016738884976640000] *********** [2464, 2470, 2475, 2484, 2496, 2499, 2500, 2508, 2520, 2530, 2541, 2548, 2550, 2560, 2565, 2574, 2576, 2584, 2592, 2600, 2618, 2622, 2625, 2640, 2646, 2652, 2660, 2673, 2688, 2691, 2695, 2700, 2717, 2720, 2730, 2736, 2737, 2744, 2750, 2754, 2760, 2772, 2783, 2793, 2800, 2805, 2808, 2816, 2835, 2850, 2856, 2860, 2875, 2880, 2898, 2904, 2907, 2912, 2916, 2925, 2926, 2940, 2944, 2964, 2970, 2975, 2990, 2992, 3000, 3003, 3024, 3025, 3036, 3040, 3059, 3060, 3072, 3078, 3080, 3087, 3094, 3105, 3120, 3128, 3135, 3136, 3146, 3150, 3159, 3168, 3185, 3192, 3200, 3213, 3220, 3230, 3234, 3240, 3250, 3264, 25852016738884976640000] *********** [3267, 3276, 3289, 3300, 3312, 3315, 3325, 3328, 3332, 3344, 3360, 3366, 3375, 3381, 3388, 3400, 3402, 3420, 3430, 3432, 3450, 3456, 3458, 3465, 3496, 3500, 3510, 3519, 3520, 3528, 3536, 3542, 3553, 3564, 3570, 3575, 3584, 3588, 3591, 3600, 3630, 3640, 3645, 3648, 3672, 3675, 3680, 3696, 3705, 3724, 3726, 3740, 3744, 3750, 3762, 3773, 3780, 3795, 3800, 3808, 3822, 3825, 3840, 3850, 3861, 3864, 3872, 3876, 3888, 3900, 3910, 3920, 3927, 3933, 3952, 3960, 3969, 3978, 3990, 4000, 4004, 4025, 4032, 4048, 4050, 4080, 4095, 4096, 4104, 4114, 4116, 4125, 4131, 4140, 4158, 4160, 4165, 4180, 4186, 4199, 25852016738884976640000] *********** [4200, 4212, 4224, 4235, 4250, 4256, 4275, 4284, 4290, 4301, 4312, 4320, 4347, 4352, 4356, 4368, 4370, 4374, 4375, 4389, 4400, 4410, 4416, 4420, 4446, 4455, 4459, 4480, 4485, 4488, 4500, 4508, 4522, 4536, 4550, 4554, 4560, 4576, 4590, 4598, 4600, 4608, 4617, 4620, 4641, 4655, 4675, 4680, 4692, 4704, 4719, 4725, 4750, 4752, 4760, 4784, 4788, 4800, 4807, 4830, 4840, 4845, 4851, 4860, 4862, 4864, 4875, 4896, 4900, 4914, 4928, 4940, 4950, 4968, 4992, 4998, 5000, 5005, 5016, 5040, 5049, 5060, 5082, 5083, 5096, 5100, 5103, 5120, 5130, 5145, 5148, 5152, 5168, 5175, 5184, 5187, 5200, 5225, 5236, 5244, 25852016738884976640000] *********** [5250, 5265, 5280, 5292, 5304, 5313, 5320, 5346, 5355, 5376, 5382, 5390, 5400, 5434, 5440, 5445, 5460, 5472, 5474, 5488, 5500, 5508, 5520, 5525, 5544, 5566, 5586, 5589, 5600, 5610, 5616, 5625, 5632, 5635, 5643, 5670, 5681, 5700, 5712, 5720, 5733, 5750, 5760, 5775, 5796, 5808, 5814, 5824, 5831, 5832, 5850, 5852, 5865, 5880, 5888, 5928, 5929, 5940, 5950, 5967, 5980, 5984, 5985, 6000, 6006, 6048, 6050, 6072, 6075, 6080, 6118, 6120, 6125, 6144, 6156, 6160, 6171, 6174, 6175, 6188, 6210, 6237, 6240, 6256, 6270, 6272, 6279, 6292, 6300, 6318, 6325, 6336, 6370, 6375, 6384, 6400, 6426, 6435, 6440, 6460, 25852016738884976640000] *********** [6468, 6480, 6500, 6517, 6528, 6534, 6545, 6552, 6555, 6561, 6578, 6600, 6615, 6624, 6630, 6650, 6656, 6664, 6669, 6688, 6720, 6732, 6750, 6762, 6776, 6783, 6800, 6804, 6825, 6831, 6840, 6860, 6864, 6875, 6885, 6897, 6900, 6912, 6916, 6930, 6992, 7000, 7007, 7020, 7038, 7040, 7056, 7072, 7084, 7106, 7125, 7128, 7140, 7150, 7168, 7176, 7182, 7200, 7245, 7260, 7280, 7290, 7293, 7296, 7315, 7344, 7350, 7360, 7371, 7392, 7410, 7425, 7429, 7448, 7452, 7475, 7480, 7488, 7497, 7500, 7524, 7546, 7560, 7590, 7600, 7616, 7623, 7644, 7650, 7680, 7695, 7700, 7722, 7728, 7735, 7744, 7752, 7776, 7800, 7820, 25852016738884976640000] *********** [7840, 7854, 7865, 7866, 7875, 7889, 7904, 7920, 7938, 7956, 7980, 8000, 8008, 8019, 8050, 8064, 8073, 8075, 8085, 8096, 8100, 8125, 8151, 8160, 8190, 8192, 8208, 8211, 8228, 8232, 8250, 8262, 8280, 8316, 8320, 8330, 8349, 8360, 8372, 8379, 8398, 8400, 8415, 8424, 8448, 8470, 8500, 8505, 8512, 8550, 8568, 8575, 8580, 8602, 8624, 8625, 8640, 8645, 8694, 8704, 8712, 8721, 8736, 8740, 8748, 8750, 8775, 8778, 8800, 8820, 8832, 8840, 8855, 8892, 8910, 8918, 8925, 8960, 8970, 8976, 9000, 9009, 9016, 9044, 9072, 9075, 9100, 9108, 9120, 9152, 9163, 9177, 9180, 9196, 9200, 9216, 9234, 9240, 9261, 9282, 25852016738884976640000] *********** [9310, 9315, 9350, 9360, 9384, 9405, 9408, 9438, 9450, 9477, 9500, 9504, 9520, 9555, 9568, 9576, 9600, 9614, 9625, 9639, 9660, 9680, 9690, 9702, 9720, 9724, 9728, 9750, 9775, 9792, 9800, 9801, 9828, 9856, 9867, 9880, 9900, 9936, 9945, 9975, 9984, 9996, 10000, 10010, 10032, 10080, 10098, 10120, 10125, 10143, 10164, 10166, 10192, 10200, 10206, 10240, 10241, 10260, 10285, 10290, 10296, 10304, 10336, 10350, 10368, 10374, 10395, 10400, 10450, 10465, 10472, 10488, 10500, 10530, 10557, 10560, 10584, 10608, 10625, 10626, 10640, 10659, 10692, 10710, 10725, 10752, 10764, 10773, 10780, 10800, 10829, 10868, 10880, 10890, 10920, 10925, 10935, 10944, 10948, 10976, 25852016738884976640000] *********** [11000, 11011, 11016, 11025, 11040, 11050, 11088, 11115, 11132, 11172, 11178, 11200, 11220, 11232, 11250, 11264, 11270, 11286, 11305, 11319, 11340, 11362, 11375, 11385, 11400, 11424, 11440, 11466, 11475, 11495, 11500, 11520, 11550, 11583, 11592, 11616, 11628, 11648, 11662, 11664, 11700, 11704, 11730, 11760, 11776, 11781, 11799, 11856, 11858, 11875, 11880, 11900, 11907, 11934, 11960, 11968, 11970, 12000, 12012, 12075, 12096, 12100, 12103, 12144, 12150, 12155, 12160, 12236, 12240, 12250, 12285, 12288, 12312, 12320, 12342, 12348, 12350, 12375, 12376, 12393, 12397, 12420, 12474, 12480, 12495, 12512, 12540, 12544, 12558, 12584, 12597, 12600, 12636, 12650, 12672, 12705, 12740, 12750, 12768, 12800, 25852016738884976640000] *********** [12825, 12852, 12870, 12880, 12903, 12920, 12936, 12960, 13000, 13034, 13041, 13056, 13068, 13090, 13104, 13110, 13122, 13125, 13156, 13167, 13200, 13230, 13248, 13260, 13300, 13312, 13328, 13338, 13365, 13376, 13377, 13440, 13455, 13464, 13475, 13500, 13524, 13552, 13566, 13585, 13600, 13608, 13650, 13662, 13680, 13685, 13720, 13728, 13750, 13770, 13794, 13800, 13824, 13832, 13851, 13860, 13915, 13923, 13965, 13984, 14000, 14014, 14025, 14040, 14076, 14080, 14112, 14144, 14157, 14168, 14175, 14212, 14250, 14256, 14280, 14300, 14336, 14352, 14364, 14375, 14399, 14400, 14421, 14490, 14520, 14535, 14553, 14560, 14580, 14586, 14592, 14625, 14630, 14651, 14688, 14700, 14720, 14742, 14784, 14820, 25852016738884976640000] *********** [14850, 14858, 14875, 14896, 14904, 14950, 14960, 14976, 14994, 15000, 15015, 15048, 15092, 15120, 15125, 15147, 15180, 15200, 15232, 15246, 15249, 15288, 15295, 15300, 15309, 15360, 15390, 15400, 15435, 15444, 15456, 15470, 15488, 15504, 15525, 15552, 15561, 15600, 15640, 15675, 15680, 15708, 15730, 15732, 15750, 15778, 15795, 15808, 15827, 15840, 15876, 15912, 15925, 15939, 15960, 16000, 16016, 16038, 16065, 16093, 16100, 16128, 16146, 16150, 16170, 16192, 16200, 16250, 16302, 16320, 16335, 16380, 16384, 16416, 16422, 16445, 16456, 16464, 16500, 16524, 16560, 16575, 16625, 16632, 16640, 16660, 16698, 16720, 16744, 16758, 16767, 16796, 16800, 16830, 16848, 16875, 16896, 16905, 16929, 16940, 25852016738884976640000] *********** [17000, 17010, 17017, 17024, 17043, 17100, 17136, 17150, 17160, 17199, 17204, 17248, 17250, 17280, 17290, 17325, 17388, 17408, 17424, 17442, 17472, 17480, 17493, 17496, 17500, 17550, 17556, 17595, 17600, 17640, 17664, 17680, 17710, 17765, 17784, 17787, 17820, 17836, 17850, 17875, 17901, 17920, 17940, 17952, 17955, 18000, 18018, 18032, 18088, 18144, 18150, 18200, 18216, 18225, 18240, 18304, 18326, 18354, 18360, 18375, 18392, 18400, 18432, 18468, 18480, 18513, 18522, 18525, 18564, 18620, 18630, 18700, 18711, 18720, 18768, 18810, 18816, 18837, 18865, 18876, 18900, 18954, 18975, 19000, 19008, 19019, 19040, 19110, 19125, 19136, 19152, 19159, 19200, 19228, 19250, 19278, 19305, 19320, 19360, 19380, 25852016738884976640000] *********** [19404, 19440, 19448, 19456, 19481, 19500, 19550, 19551, 19584, 19600, 19602, 19635, 19656, 19665, 19683, 19712, 19734, 19760, 19800, 19845, 19872, 19890, 19950, 19968, 19992, 20000, 20007, 20020, 20064, 20125, 20160, 20196, 20240, 20250, 20286, 20328, 20332, 20349, 20384, 20400, 20412, 20475, 20480, 20482, 20493, 20520, 20570, 20580, 20592, 20608, 20625, 20655, 20672, 20691, 20700, 20736, 20748, 20790, 20800, 20825, 20900, 20930, 20944, 20976, 20995, 21000, 21021, 21060, 21114, 21120, 21168, 21175, 21216, 21250, 21252, 21280, 21318, 21375, 21384, 21413, 21420, 21450, 21504, 21505, 21528, 21546, 21560, 21600, 21658, 21735, 21736, 21760, 21780, 21840, 21850, 21870, 21879, 21888, 21896, 21945, 25852016738884976640000] *********** [21952, 22000, 22022, 22032, 22050, 22080, 22100, 22113, 22176, 22230, 22264, 22275, 22287, 22295, 22344, 22356, 22400, 22425, 22440, 22464, 22491, 22500, 22528, 22540, 22572, 22610, 22638, 22680, 22724, 22750, 22770, 22800, 22848, 22869, 22880, 22932, 22950, 22990, 23000, 23023, 23040, 23085, 23100, 23166, 23184, 23205, 23232, 23256, 23275, 23296, 23324, 23328, 23375, 23400, 23408, 23460, 23520, 23552, 23562, 23595, 23598, 23625, 23667, 23712, 23716, 23750, 23760, 23800, 23814, 23868, 23920, 23936, 23940, 24000, 24024, 24035, 24057, 24150, 24192, 24200, 24206, 24219, 24225, 24255, 24288, 24300, 24310, 24320, 24375, 24453, 24472, 24480, 24500, 24570, 24576, 24624, 24633, 24640, 24684, 24696, 25852016738884976640000] *********** [24700, 24750, 24752, 24786, 24794, 24840, 24871, 24948, 24960, 24990, 25024, 25025, 25047, 25080, 25088, 25116, 25137, 25168, 25194, 25200, 25245, 25272, 25300, 25344, 25410, 25415, 25480, 25500, 25515, 25536, 25600, 25650, 25704, 25725, 25740, 25760, 25806, 25840, 25872, 25875, 25920, 25935, 26000, 26068, 26082, 26112, 26125, 26136, 26163, 26180, 26208, 26220, 26244, 26250, 26312, 26325, 26334, 26400, 26460, 26496, 26520, 26565, 26600, 26624, 26656, 26676, 26730, 26741, 26752, 26754, 26775, 26880, 26910, 26928, 26950, 27000, 27027, 27048, 27104, 27132, 27170, 27200, 27216, 27225, 27300, 27324, 27360, 27370, 27440, 27456, 27489, 27500, 27531, 27540, 27588, 27600, 27625, 27648, 27664, 27702, 25852016738884976640000] *********** [27720, 27783, 27830, 27846, 27930, 27945, 27968, 28000, 28028, 28050, 28080, 28152, 28160, 28175, 28215, 28224, 28288, 28314, 28336, 28350, 28405, 28424, 28431, 28500, 28512, 28560, 28600, 28665, 28672, 28704, 28728, 28750, 28798, 28800, 28842, 28875, 28917, 28980, 29040, 29070, 29106, 29120, 29155, 29160, 29172, 29184, 29250, 29260, 29302, 29325, 29376, 29393, 29400, 29403, 29440, 29484, 29568, 29601, 29640, 29645, 29700, 29716, 29750, 29792, 29808, 29835, 29887, 29900, 29920, 29925, 29952, 29988, 30000, 30030, 30096, 30107, 30184, 30240, 30250, 30294, 30360, 30375, 30400, 30429, 30464, 30492, 30498, 30576, 30590, 30600, 30618, 30625, 30720, 30723, 30780, 30800, 30855, 30870, 30875, 30888, 25852016738884976640000] *********** [30912, 30940, 30976, 31008, 31050, 31104, 31122, 31185, 31200, 31280, 31350, 31360, 31395, 31416, 31460, 31464, 31500, 31556, 31590, 31616, 31625, 31654, 31671, 31680, 31752, 31824, 31850, 31875, 31878, 31920, 31977, 32000, 32032, 32076, 32130, 32175, 32186, 32200, 32256, 32292, 32300, 32319, 32340, 32384, 32400, 32487, 32500, 32585, 32604, 32640, 32670, 32725, 32760, 32768, 32775, 32805, 32832, 32844, 32890, 32912, 32928, 33000, 33033, 33048, 33075, 33120, 33150, 33250, 33264, 33280, 33320, 33345, 33396, 33440, 33488, 33516, 33534, 33592, 33600, 33649, 33660, 33696, 33750, 33792, 33810, 33858, 33880, 33915, 33957, 34000, 34020, 34034, 34048, 34086, 34125, 34155, 34200, 34272, 34300, 34320, 25852016738884976640000] *********** [34398, 34408, 34425, 34485, 34496, 34500, 34560, 34580, 34650, 34749, 34776, 34816, 34848, 34884, 34944, 34960, 34986, 34992, 35000, 35035, 35100, 35112, 35190, 35200, 35280, 35328, 35343, 35360, 35397, 35420, 35530, 35568, 35574, 35581, 35625, 35640, 35672, 35700, 35721, 35750, 35802, 35840, 35880, 35904, 35910, 36000, 36036, 36064, 36176, 36179, 36225, 36288, 36300, 36309, 36400, 36432, 36450, 36465, 36480, 36575, 36608, 36652, 36708, 36720, 36750, 36784, 36800, 36855, 36864, 36936, 36960, 37026, 37044, 37050, 37125, 37128, 37145, 37179, 37191, 37240, 37260, 37375, 37400, 37422, 37440, 37485, 37536, 37620, 37632, 37674, 37730, 37752, 37791, 37800, 37908, 37950, 38000, 38016, 38038, 38080, 25852016738884976640000] *********** [38115, 38220, 38250, 38272, 38304, 38318, 38400, 38456, 38475, 38500, 38556, 38610, 38640, 38675, 38709, 38720, 38760, 38808, 38880, 38896, 38912, 38962, 39000, 39083, 39100, 39102, 39123, 39168, 39200, 39204, 39270, 39312, 39325, 39330, 39366, 39375, 39424, 39445, 39468, 39501, 39520, 39600, 39690, 39744, 39767, 39780, 39900, 39936, 39984, 40000, 40014, 40040, 40095, 40128, 40131, 40250, 40320, 40365, 40375, 40392, 40425, 40480, 40500, 40572, 40656, 40664, 40698, 40755, 40768, 40800, 40824, 40950, 40960, 40964, 40986, 41040, 41055, 41140, 41160, 41184, 41216, 41250, 41310, 41344, 41382, 41400, 41472, 41496, 41503, 41553, 41580, 41600, 41650, 41745, 41769, 41800, 41860, 41888, 41895, 41952, 25852016738884976640000] *********** [41990, 42000, 42042, 42075, 42120, 42228, 42240, 42336, 42350, 42432, 42471, 42500, 42504, 42525, 42560, 42636, 42750, 42768, 42826, 42840, 42875, 42900, 43008, 43010, 43056, 43092, 43120, 43125, 43197, 43200, 43225, 43263, 43316, 43470, 43472, 43520, 43560, 43605, 43659, 43680, 43700, 43740, 43758, 43776, 43792, 43875, 43890, 43904, 43953, 44000, 44044, 44064, 44100, 44160, 44200, 44226, 44275, 44352, 44460, 44528, 44550, 44574, 44590, 44625, 44688, 44712, 44800, 44850, 44880, 44928, 44982, 45000, 45045, 45056, 45080, 45144, 45220, 45276, 45360, 45375, 45441, 45448, 45500, 45540, 45600, 45696, 45738, 45747, 45760, 45815, 45864, 45885, 45900, 45927, 45980, 46000, 46046, 46080, 46170, 46189, 25852016738884976640000] *********** [46200, 46305, 46332, 46368, 46410, 46464, 46512, 46550, 46575, 46592, 46648, 46656, 46683, 46750, 46800, 46816, 46920, 47025, 47040, 47104, 47124, 47190, 47196, 47250, 47311, 47334, 47385, 47424, 47432, 47481, 47500, 47520, 47600, 47628, 47736, 47775, 47817, 47840, 47872, 47880, 48000, 48048, 48070, 48114, 48125, 48195, 48279, 48300, 48384, 48400, 48412, 48438, 48450, 48510, 48576, 48600, 48620, 48640, 48750, 48875, 48906, 48944, 48960, 49000, 49005, 49049, 49140, 49152, 49248, 49266, 49280, 49335, 49368, 49392, 49400, 49500, 49504, 49572, 49588, 49680, 49725, 49742, 49875, 49896, 49920, 49980, 50048, 50050, 50094, 50160, 50176, 50232, 50274, 50301, 50336, 50388, 50400, 50490, 50544, 50600, 25852016738884976640000] *********** [50625, 50688, 50715, 50787, 50820, 50830, 50960, 51000, 51030, 51051, 51072, 51129, 51200, 51205, 51300, 51408, 51425, 51450, 51480, 51520, 51597, 51612, 51680, 51744, 51750, 51840, 51870, 51975, 52000, 52003, 52136, 52164, 52224, 52250, 52272, 52325, 52326, 52360, 52416, 52440, 52479, 52488, 52500, 52624, 52650, 52668, 52785, 52800, 52877, 52920, 52992, 53040, 53130, 53200, 53248, 53295, 53312, 53352, 53361, 53460, 53482, 53504, 53508, 53550, 53625, 53703, 53760, 53820, 53856, 53865, 53900, 54000, 54054, 54096, 54145, 54208, 54264, 54340, 54400, 54432, 54450, 54600, 54625, 54648, 54675, 54720, 54740, 54880, 54912, 54978, 55000, 55055, 55062, 55080, 55125, 55176, 55200, 55250, 55296, 55328, 25852016738884976640000] *********** [55404, 55440, 55539, 55566, 55575, 55660, 55692, 55860, 55890, 55913, 55936, 56000, 56056, 56100, 56133, 56160, 56304, 56320, 56350, 56430, 56448, 56511, 56525, 56576, 56595, 56628, 56672, 56700, 56810, 56848, 56862, 56875, 56925, 57000, 57024, 57057, 57120, 57200, 57330, 57344, 57375, 57408, 57456, 57475, 57477, 57500, 57596, 57600, 57684, 57750, 57834, 57915, 57960, 58080, 58140, 58212, 58240, 58310, 58320, 58344, 58368, 58443, 58500, 58520, 58604, 58650, 58653, 58752, 58786, 58800, 58806, 58880, 58905, 58968, 58995, 59136, 59202, 59280, 59290, 59400, 59432, 59500, 59535, 59584, 59616, 59670, 59774, 59800, 59840, 59850, 59904, 59976, 60000, 60021, 60060, 60192, 60214, 60368, 60375, 60480, 25852016738884976640000] *********** [60500, 60515, 60588, 60720, 60750, 60775, 60800, 60858, 60928, 60984, 60996, 61047, 61152, 61180, 61200, 61236, 61250, 61425, 61440, 61446, 61479, 61560, 61600, 61710, 61740, 61750, 61776, 61824, 61875, 61880, 61952, 61965, 61985, 62016, 62073, 62100, 62208, 62244, 62370, 62400, 62475, 62491, 62560, 62700, 62720, 62790, 62832, 62920, 62928, 62985, 63000, 63063, 63112, 63180, 63232, 63250, 63308, 63342, 63360, 63504, 63525, 63648, 63700, 63750, 63756, 63840, 63954, 64000, 64064, 64125, 64141, 64152, 64239, 64260, 64350, 64372, 64400, 64512, 64515, 64584, 64600, 64638, 64680, 64768, 64800, 64974, 65000, 65170, 65205, 65208, 65280, 65340, 65450, 65520, 65536, 65550, 65610, 65637, 65664, 65688, 25852016738884976640000] *********** [65780, 65824, 65835, 65856, 66000, 66066, 66096, 66150, 66240, 66300, 66339, 66500, 66528, 66560, 66640, 66690, 66792, 66825, 66861, 66880, 66885, 66976, 67032, 67068, 67184, 67200, 67275, 67298, 67320, 67375, 67392, 67473, 67500, 67584, 67620, 67716, 67760, 67830, 67914, 67925, 68000, 68040, 68068, 68096, 68172, 68250, 68310, 68400, 68425, 68544, 68600, 68607, 68640, 68796, 68816, 68850, 68970, 68992, 69000, 69069, 69120, 69160, 69255, 69300, 69498, 69552, 69575, 69615, 69632, 69696, 69768, 69825, 69888, 69920, 69972, 69984, 70000, 70070, 70125, 70200, 70224, 70380, 70400, 70560, 70656, 70686, 70720, 70785, 70794, 70840, 70875, 71001, 71060, 71136, 71148, 71162, 71250, 71280, 71344, 71400, 25852016738884976640000] *********** [71442, 71500, 71604, 71680, 71687, 71760, 71808, 71820, 71995, 72000, 72072, 72105, 72128, 72171, 72352, 72358, 72450, 72576, 72600, 72618, 72657, 72675, 72765, 72800, 72864, 72900, 72930, 72960, 73125, 73150, 73216, 73255, 73304, 73359, 73416, 73440, 73500, 73568, 73600, 73710, 73728, 73872, 73899, 73920, 74052, 74088, 74100, 74250, 74256, 74290, 74358, 74375, 74382, 74480, 74520, 74613, 74750, 74800, 74844, 74880, 74970, 75072, 75075, 75141, 75240, 75264, 75348, 75411, 75460, 75504, 75582, 75600, 75625, 75735, 75803, 75816, 75900, 76000, 76032, 76076, 76160, 76230, 76245, 76440, 76475, 76500, 76544, 76545, 76608, 76636, 76800, 76912, 76950, 77000, 77077, 77112, 77175, 77220, 77280, 77350, 25852016738884976640000] *********** [77418, 77440, 77520, 77616, 77625, 77760, 77792, 77805, 77824, 77924, 78000, 78166, 78200, 78204, 78246, 78336, 78375, 78400, 78408, 78489, 78540, 78624, 78650, 78660, 78732, 78750, 78848, 78890, 78936, 78975, 79002, 79040, 79135, 79200, 79380, 79488, 79534, 79560, 79625, 79695, 79800, 79872, 79968, 80000, 80028, 80080, 80190, 80223, 80256, 80262, 80325, 80465, 80500, 80640, 80730, 80750, 80784, 80850, 80960, 81000, 81081, 81144, 81312, 81328, 81396, 81510, 81536, 81600, 81648, 81675, 81719, 81900, 81920, 81928, 81972, 82080, 82110, 82225, 82280, 82320, 82368, 82432, 82467, 82500, 82593, 82620, 82688, 82764, 82800, 82875, 82944, 82992, 83006, 83106, 83125, 83160, 83200, 83300, 83349, 83490, 25852016738884976640000] *********** [83538, 83600, 83720, 83776, 83790, 83835, 83904, 83980, 84000, 84084, 84150, 84240, 84456, 84480, 84525, 84645, 84672, 84700, 84721, 84864, 84942, 85000, 85008, 85050, 85085, 85120, 85215, 85272, 85293, 85500, 85536, 85652, 85680, 85750, 85800, 85995, 86016, 86020, 86112, 86184, 86240, 86250, 86394, 86400, 86450, 86526, 86625, 86632, 86751, 86779, 86940, 86944, 87040, 87120, 87210, 87318, 87360, 87400, 87465, 87480, 87516, 87552, 87584, 87750, 87780, 87808, 87906, 87975, 88000, 88088, 88128, 88179, 88200, 88209, 88320, 88400, 88452, 88550, 88704, 88803, 88825, 88920, 88935, 89056, 89100, 89148, 89180, 89250, 89375, 89376, 89424, 89505, 89600, 89661, 89700, 89760, 89775, 89856, 89964, 90000, 25852016738884976640000] *********** [90090, 90112, 90160, 90288, 90321, 90440, 90552, 90720, 90750, 90882, 90896, 91000, 91080, 91125, 91200, 91287, 91392, 91476, 91494, 91520, 91630, 91728, 91770, 91800, 91854, 91875, 91960, 92000, 92092, 92160, 92169, 92340, 92378, 92400, 92565, 92610, 92625, 92664, 92736, 92820, 92928, 93024, 93100, 93150, 93184, 93296, 93312, 93366, 93500, 93555, 93600, 93632, 93840, 94050, 94080, 94185, 94208, 94248, 94325, 94380, 94392, 94500, 94622, 94668, 94770, 94848, 94864, 94875, 94962, 95000, 95013, 95040, 95095, 95200, 95256, 95472, 95550, 95625, 95634, 95680, 95744, 95760, 95795, 95931, 96000, 96096, 96140, 96228, 96250, 96390, 96525, 96558, 96577, 96600, 96768, 96800, 96824, 96876, 96900, 96957, 25852016738884976640000] *********** [97020, 97152, 97200, 97240, 97280, 97405, 97461, 97500, 97750, 97755, 97812, 97888, 97920, 98000, 98010, 98098, 98175, 98280, 98304, 98325, 98415, 98496, 98532, 98560, 98670, 98736, 98784, 98800, 99000, 99008, 99099, 99144, 99176, 99225, 99360, 99450, 99484, 99750, 99792, 99840, 99960, 100035, 100096, 100100, 100188, 100320, 100352, 100464, 100548, 100602, 100625, 100672, 100776, 100793, 100800, 100947, 100980, 101088, 101200, 101250, 101376, 101430, 101574, 101640, 101660, 101745, 101871, 101920, 102000, 102060, 102102, 102144, 102258, 102375, 102400, 102410, 102465, 102557, 102600, 102816, 102850, 102900, 102960, 103040, 103194, 103224, 103275, 103360, 103455, 103488, 103500, 103680, 103740, 103950, 104000, 104006, 104125, 104247, 104272, 104328, 25852016738884976640000] *********** [104448, 104500, 104544, 104650, 104652, 104720, 104832, 104880, 104958, 104975, 104976, 105000, 105105, 105248, 105300, 105336, 105570, 105600, 105754, 105840, 105875, 105984, 106029, 106080, 106191, 106260, 106400, 106496, 106590, 106624, 106704, 106722, 106743, 106875, 106920, 106964, 107008, 107016, 107065, 107100, 107163, 107250, 107406, 107520, 107525, 107640, 107712, 107730, 107800, 108000, 108108, 108192, 108290, 108416, 108528, 108537, 108675, 108680, 108800, 108864, 108900, 108927, 109200, 109250, 109296, 109350, 109395, 109440, 109480, 109725, 109760, 109824, 109956, 110000, 110110, 110124, 110160, 110250, 110352, 110400, 110500, 110565, 110592, 110656, 110789, 110808, 110880, 111078, 111132, 111150, 111320, 111375, 111384, 111435, 111475, 111537, 111573, 111720, 111780, 111826, 25852016738884976640000] *********** [111872, 112000, 112112, 112125, 112200, 112266, 112320, 112455, 112608, 112640, 112651, 112700, 112860, 112896, 113022, 113050, 113152, 113190, 113256, 113344, 113373, 113400, 113620, 113696, 113724, 113750, 113850, 114000, 114048, 114114, 114240, 114345, 114400, 114660, 114688, 114750, 114816, 114912, 114950, 114954, 115000, 115115, 115192, 115200, 115368, 115425, 115500, 115668, 115830, 115920, 116025, 116127, 116160, 116280, 116375, 116424, 116480, 116620, 116640, 116688, 116736, 116875, 116886, 117000, 117040, 117208, 117249, 117300, 117306, 117369, 117504, 117572, 117600, 117612, 117760, 117810, 117936, 117975, 117990, 118125, 118272, 118335, 118404, 118503, 118560, 118580, 118800, 118864, 119000, 119070, 119119, 119168, 119232, 119301, 119340, 119548, 119600, 119680, 119700, 119808, 25852016738884976640000] *********** [119952, 120000, 120042, 120120, 120175, 120285, 120384, 120393, 120428, 120736, 120750, 120960, 121000, 121030, 121095, 121125, 121176, 121275, 121440, 121500, 121550, 121600, 121716, 121856, 121968, 121992, 122094, 122265, 122304, 122360, 122400, 122472, 122500, 122850, 122880, 122892, 122958, 123120, 123165, 123200, 123420, 123480, 123500, 123552, 123648, 123750, 123760, 123904, 123930, 123970, 124032, 124146, 124200, 124355, 124416, 124488, 124509, 124659, 124740, 124800, 124950, 124982, 125120, 125125, 125235, 125307, 125400, 125440, 125580, 125664, 125685, 125840, 125856, 125970, 126000, 126126, 126224, 126225, 126360, 126464, 126500, 126616, 126684, 126720, 127008, 127050, 127075, 127296, 127400, 127413, 127500, 127512, 127575, 127680, 127908, 128000, 128128, 128250, 128282, 128304, 25852016738884976640000] *********** [128478, 128520, 128625, 128700, 128744, 128800, 129024, 129030, 129168, 129200, 129276, 129360, 129375, 129536, 129591, 129600, 129675, 129789, 129948, 130000, 130340, 130410, 130416, 130560, 130625, 130680, 130815, 130900, 130977, 131040, 131072, 131100, 131220, 131274, 131328, 131376, 131560, 131625, 131648, 131670, 131712, 131859, 132000, 132132, 132192, 132300, 132480, 132600, 132678, 132825, 133000, 133056, 133120, 133133, 133280, 133380, 133584, 133650, 133705, 133722, 133760, 133770, 133875, 133952, 134064, 134113, 134136, 134368, 134400, 134550, 134596, 134640, 134750, 134784, 134946, 135000, 135135, 135168, 135240, 135432, 135520, 135660, 135828, 135850, 136000, 136080, 136125, 136136, 136192, 136323, 136344, 136367, 136500, 136620, 136800, 136850, 137088, 137200, 137214, 137241, 25852016738884976640000] *********** [137280, 137445, 137592, 137632, 137655, 137700, 137781, 137940, 137984, 138000, 138125, 138138, 138240, 138320, 138510, 138567, 138600, 138915, 138996, 139104, 139150, 139230, 139264, 139392, 139536, 139650, 139725, 139776, 139840, 139944, 139968, 140000, 140049, 140140, 140250, 140400, 140448, 140760, 140800, 140875, 141075, 141120, 141312, 141372, 141440, 141570, 141588, 141680, 141750, 141933, 142002, 142025, 142120, 142155, 142272, 142296, 142324, 142443, 142500, 142560, 142688, 142800, 142884, 143000, 143208, 143325, 143360, 143374, 143451, 143520, 143616, 143640, 143990, 144000, 144144, 144210, 144256, 144342, 144375, 144585, 144704, 144716, 144837, 144900, 145152, 145200, 145236, 145314, 145350, 145530, 145600, 145728, 145775, 145800, 145860, 145920, 146250, 146300, 146432, 146510, 25852016738884976640000] *********** [146608, 146625, 146718, 146832, 146880, 146965, 147000, 147015, 147136, 147147, 147200, 147420, 147456, 147744, 147798, 147840, 148005, 148104, 148176, 148200, 148225, 148500, 148512, 148580, 148716, 148750, 148764, 148960, 149040, 149175, 149226, 149435, 149500, 149600, 149625, 149688, 149760, 149891, 149940, 150144, 150150, 150282, 150480, 150528, 150535, 150696, 150822, 150903, 150920, 151008, 151164, 151200, 151250, 151470, 151606, 151632, 151800, 151875, 152000, 152064, 152145, 152152, 152320, 152361, 152460, 152490, 152880, 152950, 153000, 153088, 153090, 153153, 153216, 153272, 153387, 153600, 153615, 153824, 153900, 154000, 154154, 154224, 154275, 154350, 154375, 154440, 154560, 154700, 154791, 154836, 154880, 155040, 155232, 155250, 155520, 155584, 155610, 155648, 155848, 155925, 25852016738884976640000] *********** [156000, 156009, 156332, 156400, 156408, 156492, 156672, 156750, 156800, 156816, 156975, 156978, 157080, 157248, 157300, 157320, 157437, 157464, 157500, 157696, 157780, 157872, 157950, 158004, 158080, 158125, 158270, 158355, 158400, 158631, 158760, 158976, 159068, 159120, 159250, 159390, 159600, 159744, 159885, 159936, 160000, 160056, 160083, 160160, 160380, 160446, 160512, 160524, 160650, 160875, 160930, 161000, 161109, 161161, 161280, 161460, 161500, 161568, 161595, 161700, 161920, 162000, 162162, 162288, 162435, 162624, 162656, 162792, 162925, 163020, 163072, 163200, 163296, 163350, 163438, 163625, 163800, 163840, 163856, 163875, 163944, 164025, 164160, 164220, 164450, 164560, 164640, 164736, 164864, 164934, 165000, 165165, 165186, 165240, 165375, 165376, 165528, 165600, 165750, 165888, 25852016738884976640000] *********** [165984, 166012, 166212, 166250, 166320, 166400, 166600, 166617, 166698, 166725, 166980, 167076, 167200, 167440, 167552, 167580, 167670, 167739, 167808, 167960, 168000, 168168, 168245, 168300, 168399, 168480, 168912, 168960, 169050, 169290, 169344, 169400, 169442, 169533, 169575, 169728, 169785, 169884, 170000, 170016, 170100, 170170, 170240, 170430, 170544, 170586, 170625, 170775, 171000, 171072, 171171, 171304, 171360, 171500, 171600, 171990, 172032, 172040, 172125, 172224, 172368, 172425, 172431, 172480, 172500, 172788, 172800, 172900, 173052, 173250, 173264, 173502, 173558, 173745, 173880, 173888, 174080, 174097, 174240, 174420, 174636, 174720, 174800, 174930, 174960, 175032, 175104, 175168, 175175, 175329, 175500, 175560, 175616, 175812, 175950, 175959, 176000, 176176, 176256, 176358, 25852016738884976640000] *********** [176400, 176418, 176640, 176715, 176800, 176904, 176985, 177100, 177408, 177606, 177650, 177840, 177870, 177905, 178112, 178200, 178296, 178360, 178500, 178605, 178750, 178752, 178848, 179010, 179200, 179322, 179400, 179520, 179550, 179712, 179928, 180000, 180063, 180180, 180224, 180320, 180576, 180642, 180880, 180895, 181104, 181125, 181440, 181500, 181545, 181764, 181792, 182000, 182160, 182250, 182325, 182400, 182574, 182784, 182875, 182952, 182988, 183040, 183141, 183260, 183456, 183540, 183600, 183708, 183750, 183920, 184000, 184184, 184275, 184320, 184338, 184437, 184680, 184756, 184800, 185130, 185220, 185250, 185328, 185472, 185625, 185640, 185725, 185856, 185895, 185955, 186048, 186200, 186219, 186300, 186368, 186592, 186624, 186732, 186875, 187000, 187110, 187187, 187200, 187264, 25852016738884976640000] *********** [187425, 187473, 187680, 188100, 188160, 188370, 188416, 188496, 188650, 188760, 188784, 188955, 189000, 189189, 189244, 189336, 189540, 189696, 189728, 189750, 189924, 190000, 190026, 190080, 190190, 190400, 190512, 190575, 190944, 191100, 191250, 191268, 191360, 191488, 191520, 191590, 191862, 192000, 192192, 192280, 192375, 192423, 192456, 192500, 192717, 192780, 193050, 193116, 193154, 193200, 193375, 193536, 193545, 193600, 193648, 193752, 193800, 193914, 194040, 194304, 194400, 194480, 194560, 194810, 194922, 195000, 195415, 195500, 195510, 195615, 195624, 195776, 195840, 196000, 196020, 196196, 196350, 196560, 196608, 196625, 196650, 196830, 196911, 196992, 197064, 197120, 197225, 197340, 197472, 197505, 197568, 197600, 198000, 198016, 198198, 198288, 198352, 198450, 198720, 198835, 25852016738884976640000] *********** [198900, 198968, 199017, 199500, 199584, 199680, 199920, 200070, 200192, 200200, 200376, 200475, 200583, 200640, 200655, 200704, 200928, 201096, 201204, 201250, 201344, 201552, 201586, 201600, 201825, 201875, 201894, 201960, 202125, 202176, 202400, 202419, 202500, 202752, 202860, 203148, 203280, 203320, 203490, 203742, 203775, 203840, 204000, 204120, 204204, 204288, 204516, 204750, 204800, 204820, 204930, 205114, 205200, 205275, 205632, 205700, 205751, 205800, 205821, 205920, 206080, 206388, 206448, 206550, 206720, 206910, 206976, 207000, 207207, 207360, 207480, 207515, 207765, 207900, 208000, 208012, 208250, 208494, 208544, 208656, 208725, 208845, 208896, 209000, 209088, 209209, 209300, 209304, 209440, 209475, 209664, 209760, 209916, 209950, 209952, 210000, 210210, 210375, 210496, 210600, 25852016738884976640000] *********** [210672, 210749, 211140, 211200, 211508, 211680, 211750, 211968, 212058, 212160, 212355, 212382, 212520, 212625, 212800, 212992, 213003, 213180, 213248, 213408, 213444, 213486, 213750, 213840, 213928, 214016, 214032, 214130, 214200, 214326, 214375, 214500, 214812, 215040, 215050, 215061, 215280, 215424, 215460, 215600, 215985, 216000, 216125, 216216, 216315, 216384, 216513, 216580, 216832, 217056, 217074, 217350, 217360, 217600, 217728, 217800, 217854, 217971, 218025, 218295, 218400, 218500, 218592, 218700, 218790, 218880, 218960, 219375, 219450, 219520, 219648, 219765, 219912, 220000, 220077, 220220, 220248, 220320, 220500, 220704, 220800, 221000, 221130, 221184, 221312, 221375, 221578, 221616, 221697, 221760, 222156, 222264, 222300, 222640, 222750, 222768, 222870, 222950, 223074, 223125, 25852016738884976640000] *********** [223146, 223440, 223560, 223652, 223744, 223839, 224000, 224224, 224250, 224400, 224532, 224640, 224910, 225216, 225225, 225280, 225302, 225400, 225423, 225720, 225792, 226044, 226100, 226233, 226304, 226380, 226512, 226688, 226746, 226800, 226875, 227205, 227240, 227392, 227409, 227448, 227500, 227700, 228000, 228096, 228228, 228480, 228690, 228735, 228800, 229075, 229320, 229376, 229425, 229500, 229632, 229635, 229824, 229900, 229908, 230000, 230230, 230384, 230400, 230736, 230850, 230945, 231000, 231231, 231336, 231525, 231660, 231840, 232050, 232254, 232320, 232560, 232750, 232848, 232875, 232960, 233240, 233280, 233376, 233415, 233472, 233750, 233772, 234000, 234080, 234416, 234498, 234600, 234612, 234738, 235008, 235125, 235144, 235200, 235224, 235467, 235520, 235543, 235620, 235872, 25852016738884976640000] *********** [235950, 235980, 236250, 236544, 236555, 236670, 236808, 236925, 237006, 237120, 237160, 237405, 237600, 237728, 238000, 238140, 238238, 238336, 238464, 238602, 238680, 238875, 239085, 239096, 239200, 239360, 239400, 239616, 239904, 240000, 240084, 240240, 240350, 240570, 240669, 240768, 240786, 240856, 240975, 241395, 241472, 241500, 241920, 242000, 242060, 242190, 242250, 242352, 242550, 242880, 243000, 243100, 243200, 243243, 243432, 243712, 243936, 243984, 244188, 244375, 244530, 244608, 244720, 244800, 244944, 245000, 245025, 245157, 245245, 245700, 245760, 245784, 245916, 246240, 246330, 246400, 246675, 246840, 246960, 247000, 247104, 247296, 247401, 247500, 247520, 247779, 247808, 247860, 247940, 248064, 248292, 248400, 248625, 248710, 248832, 248976, 249018, 249067, 249318, 249375, 25852016738884976640000] *********** [249480, 249600, 249900, 249964, 250047, 250240, 250250, 250470, 250614, 250800, 250880, 251160, 251328, 251370, 251505, 251680, 251712, 251940, 252000, 252252, 252448, 252450, 252720, 252928, 253000, 253232, 253253, 253368, 253440, 253575, 253935, 254016, 254100, 254150, 254163, 254592, 254800, 254826, 255000, 255024, 255150, 255255, 255360, 255645, 255816, 255879, 256000, 256025, 256256, 256500, 256564, 256608, 256956, 257040, 257125, 257250, 257400, 257488, 257600, 257985, 258048, 258060, 258336, 258400, 258552, 258720, 258750, 259072, 259182, 259200, 259350, 259578, 259875, 259896, 260000, 260015, 260253, 260337, 260680, 260820, 260832, 261120, 261250, 261360, 261625, 261630, 261800, 261954, 262080, 262144, 262200, 262395, 262440, 262548, 262656, 262752, 263120, 263250, 263296, 263340, 25852016738884976640000] *********** [263424, 263718, 263925, 264000, 264264, 264384, 264385, 264537, 264600, 264627, 264960, 265200, 265356, 265650, 266000, 266112, 266240, 266266, 266409, 266475, 266560, 266760, 266805, 267168, 267300, 267410, 267444, 267520, 267540, 267750, 267904, 268125, 268128, 268226, 268272, 268515, 268736, 268800, 268983, 269100, 269192, 269280, 269325, 269500, 269568, 269892, 270000, 270270, 270336, 270480, 270725, 270864, 270963, 271040, 271320, 271656, 271700, 272000, 272160, 272250, 272272, 272384, 272646, 272688, 272734, 273000, 273125, 273240, 273375, 273581, 273600, 273700, 273861, 274176, 274400, 274428, 274482, 274560, 274890, 275184, 275264, 275275, 275310, 275400, 275562, 275625, 275880, 275968, 276000, 276250, 276276, 276480, 276507, 276640, 277020, 277134, 277200, 277695, 277830, 277875, 25852016738884976640000] *********** [277992, 278208, 278300, 278369, 278460, 278528, 278784, 279072, 279300, 279450, 279552, 279565, 279680, 279888, 279936, 280000, 280098, 280280, 280500, 280665, 280800, 280896, 281520, 281600, 281750, 282150, 282240, 282555, 282624, 282625, 282744, 282880, 282975, 283140, 283176, 283360, 283500, 283866, 284004, 284050, 284240, 284310, 284544, 284592, 284625, 284648, 284886, 285000, 285039, 285120, 285285, 285376, 285600, 285768, 286000, 286416, 286650, 286720, 286748, 286875, 286902, 287040, 287232, 287280, 287375, 287385, 287793, 287980, 288000, 288288, 288420, 288512, 288684, 288750, 289170, 289408, 289432, 289575, 289674, 289731, 289800, 290304, 290400, 290472, 290628, 290700, 290871, 291060, 291200, 291456, 291550, 291600, 291720, 291840, 292215, 292383, 292500, 292600, 292864, 293020, 25852016738884976640000] *********** [293216, 293250, 293265, 293436, 293664, 293760, 293930, 294000, 294030, 294272, 294294, 294400, 294525, 294840, 294912, 294975, 295488, 295596, 295680, 296010, 296208, 296352, 296400, 296450, 297000, 297024, 297160, 297297, 297432, 297500, 297528, 297675, 297920, 298080, 298350, 298452, 298870, 299000, 299200, 299250, 299376, 299520, 299782, 299880, 300105, 300288, 300300, 300564, 300960, 301056, 301070, 301392, 301644, 301806, 301840, 301875, 302016, 302328, 302379, 302400, 302500, 302575, 302841, 302940, 303212, 303264, 303600, 303750, 303875, 304000, 304128, 304290, 304304, 304640, 304722, 304920, 304980, 305235, 305613, 305760, 305900, 306000, 306176, 306180, 306306, 306432, 306544, 306774, 307125, 307200, 307230, 307395, 307648, 307671, 307800, 308000, 308308, 308448, 308550, 308700, 25852016738884976640000] *********** [308750, 308880, 309120, 309400, 309582, 309672, 309760, 309825, 309925, 310080, 310365, 310464, 310500, 311040, 311168, 311220, 311296, 311696, 311850, 312000, 312018, 312375, 312455, 312664, 312741, 312800, 312816, 312984, 313344, 313500, 313600, 313632, 313950, 313956, 314160, 314496, 314600, 314640, 314874, 314925, 314928, 315000, 315315, 315392, 315560, 315744, 315900, 316008, 316160, 316250, 316540, 316710, 316800, 317262, 317520, 317625, 317952, 318087, 318136, 318240, 318500, 318573, 318780, 319200, 319488, 319770, 319872, 320000, 320112, 320166, 320229, 320320, 320625, 320705, 320760, 320892, 321024, 321048, 321195, 321300, 321489, 321750, 321860, 322000, 322218, 322322, 322560, 322575, 322920, 323000, 323136, 323190, 323323, 323400, 323840, 324000, 324324, 324576, 324870, 325248, 25852016738884976640000] *********** [325312, 325584, 325611, 325850, 326025, 326040, 326144, 326400, 326592, 326700, 326781, 326876, 327250, 327600, 327680, 327712, 327750, 327888, 328050, 328185, 328320, 328440, 328900, 329120, 329175, 329280, 329472, 329728, 329868, 330000, 330330, 330372, 330480, 330750, 330752, 331056, 331177, 331200, 331500, 331695, 331776, 331968, 332024, 332367, 332424, 332500, 332640, 332800, 333200, 333234, 333396, 333450, 333960, 334125, 334152, 334305, 334400, 334425, 334611, 334719, 334880, 335104, 335160, 335340, 335478, 335616, 335920, 336000, 336336, 336375, 336490, 336600, 336798, 336875, 336960, 337365, 337824, 337920, 337953, 338100, 338580, 338688, 338800, 338884, 339066, 339150, 339456, 339570, 339625, 339768, 340000, 340032, 340119, 340200, 340340, 340480, 340860, 341088, 341172, 341250, 25852016738884976640000] *********** [341550, 342000, 342125, 342144, 342342, 342608, 342720, 343000, 343035, 343200, 343980, 344064, 344080, 344250, 344448, 344736, 344850, 344862, 344960, 345000, 345345, 345576, 345600, 345800, 346104, 346275, 346500, 346528, 347004, 347116, 347490, 347760, 347776, 347875, 348075, 348160, 348194, 348381, 348480, 348840, 349125, 349272, 349440, 349600, 349860, 349920, 350064, 350208, 350336, 350350, 350625, 350658, 351000, 351120, 351232, 351624, 351747, 351900, 351918, 352000, 352107, 352352, 352512, 352716, 352800, 352836, 353280, 353430, 353600, 353808, 353925, 353970, 354200, 354375, 354816, 355005, 355212, 355300, 355509, 355680, 355740, 355810, 356224, 356400, 356592, 356720, 357000, 357210, 357357, 357500, 357504, 357696, 357903, 358020, 358400, 358435, 358644, 358800, 359040, 359100, 25852016738884976640000] *********** [359424, 359856, 359975, 360000, 360126, 360360, 360448, 360525, 360640, 360855, 361152, 361179, 361284, 361760, 361790, 362208, 362250, 362880, 363000, 363090, 363285, 363375, 363528, 363584, 363825, 364000, 364021, 364320, 364500, 364650, 364800, 365148, 365568, 365750, 365904, 365976, 366080, 366275, 366282, 366520, 366795, 366912, 367080, 367200, 367416, 367500, 367840, 368000, 368368, 368550, 368640, 368676, 368874, 369360, 369495, 369512, 369600, 370139, 370260, 370440, 370500, 370656, 370944, 371250, 371280, 371450, 371712, 371790, 371910, 372096, 372400, 372438, 372600, 372736, 373065, 373184, 373248, 373464, 373527, 373750, 373977, 374000, 374220, 374374, 374400, 374528, 374850, 374946, 375360, 375375, 375705, 375921, 376200, 376320, 376740, 376832, 376992, 377055, 377300, 377520, 25852016738884976640000] *********** [377568, 377910, 378000, 378378, 378488, 378672, 378675, 379015, 379080, 379392, 379456, 379500, 379848, 380000, 380052, 380160, 380380, 380800, 381024, 381150, 381225, 381888, 382200, 382239, 382375, 382500, 382536, 382720, 382725, 382976, 383040, 383180, 383724, 384000, 384384, 384560, 384750, 384846, 384912, 385000, 385385, 385434, 385560, 385875, 386100, 386232, 386308, 386400, 386750, 387072, 387090, 387200, 387296, 387504, 387600, 387828, 388080, 388125, 388608, 388773, 388800, 388960, 389025, 389120, 389367, 389620, 389844, 390000, 390830, 391000, 391020, 391230, 391248, 391391, 391552, 391680, 391875, 392000, 392040, 392392, 392445, 392700, 392931, 393120, 393216, 393250, 393300, 393660, 393822, 393984, 394128, 394240, 394450, 394680, 394875, 394944, 395010, 395136, 395200, 395577, 25852016738884976640000] *********** [395675, 396000, 396032, 396396, 396576, 396704, 396900, 397440, 397670, 397800, 397936, 398034, 398125, 398475, 399000, 399168, 399360, 399399, 399840, 400140, 400384, 400400, 400752, 400950, 401115, 401166, 401280, 401310, 401408, 401625, 401856, 402192, 402325, 402339, 402408, 402500, 402688, 403104, 403172, 403200, 403650, 403750, 403788, 403920, 404250, 404352, 404800, 404838, 405000, 405405, 405504, 405720, 406296, 406560, 406640, 406980, 407484, 407550, 407680, 408000, 408240, 408375, 408408, 408576, 408595, 408969, 409032, 409101, 409500, 409600, 409640, 409860, 410228, 410400, 410550, 411125, 411264, 411400, 411502, 411600, 411642, 411723, 411840, 412160, 412335, 412776, 412896, 412965, 413100, 413440, 413820, 413952, 414000, 414375, 414414, 414720, 414960, 415030, 415530, 415701, 25852016738884976640000] *********** [415800, 416000, 416024, 416500, 416745, 416988, 417088, 417312, 417450, 417690, 417792, 418000, 418176, 418418, 418600, 418608, 418880, 418950, 419175, 419328, 419520, 419832, 419900, 419904, 420000, 420147, 420420, 420750, 420992, 421200, 421344, 421498, 422280, 422400, 422625, 423016, 423225, 423360, 423500, 423605, 423936, 424116, 424320, 424710, 424764, 425040, 425250, 425425, 425600, 425799, 425984, 426006, 426075, 426360, 426465, 426496, 426816, 426888, 426972, 427329, 427500, 427680, 427856, 428032, 428064, 428260, 428400, 428652, 428750, 429000, 429624, 429975, 430080, 430100, 430122, 430353, 430560, 430848, 430920, 431200, 431970, 432000, 432250, 432432, 432630, 432768, 433026, 433125, 433160, 433664, 433755, 433895, 434112, 434148, 434511, 434700, 434720, 435200, 435456, 435600, 25852016738884976640000] *********** [435708, 435942, 436050, 436590, 436800, 437000, 437184, 437325, 437400, 437437, 437580, 437760, 437920, 438750, 438900, 439040, 439296, 439530, 439824, 439875, 440000, 440154, 440440, 440496, 440640, 440895, 441000, 441045, 441408, 441441, 441600, 442000, 442260, 442368, 442624, 442750, 443156, 443232, 443394, 443520, 444015, 444125, 444312, 444528, 444600, 444675, 445280, 445500, 445536, 445740, 445900, 446148, 446250, 446292, 446880, 447120, 447304, 447488, 447525, 447678, 448000, 448305, 448448, 448500, 448800, 448875, 449064, 449280, 449673, 449820, 450432, 450450, 450560, 450604, 450800, 450846, 451440, 451584, 451605, 452088, 452200, 452466, 452608, 452709, 452760, 453024, 453376, 453492, 453600, 453750, 454410, 454480, 454784, 454818, 454896, 455000, 455400, 455625, 456000, 456192, 25852016738884976640000] *********** [456435, 456456, 456960, 457083, 457380, 457470, 457600, 458150, 458640, 458752, 458850, 459000, 459264, 459270, 459459, 459648, 459800, 459816, 460000, 460161, 460460, 460768, 460800, 460845, 461472, 461700, 461890, 462000, 462462, 462672, 462825, 463050, 463125, 463320, 463680, 464100, 464373, 464508, 464640, 465120, 465500, 465696, 465750, 465920, 466480, 466560, 466752, 466830, 466944, 467500, 467544, 467775, 468000, 468027, 468160, 468832, 468996, 469200, 469224, 469476, 470016, 470250, 470288, 470400, 470448, 470925, 470934, 471040, 471086, 471240, 471625, 471744, 471900, 471960, 472311, 472500, 473088, 473110, 473340, 473616, 473850, 474012, 474240, 474320, 474375, 474810, 475065, 475200, 475456, 475475, 475893, 476000, 476280, 476476, 476672, 476928, 477204, 477360, 477750, 478170, 25852016738884976640000] *********** [478192, 478400, 478720, 478800, 478975, 479232, 479655, 479808, 480000, 480168, 480249, 480480, 480700, 481140, 481338, 481536, 481572, 481712, 481950, 482625, 482790, 482885, 482944, 483000, 483327, 483483, 483840, 484000, 484120, 484380, 484500, 484704, 484785, 485100, 485760, 486000, 486200, 486400, 486486, 486864, 487025, 487305, 487424, 487872, 487968, 488376, 488750, 488775, 489060, 489216, 489440, 489600, 489888, 490000, 490050, 490314, 490490, 490875, 491400, 491520, 491568, 491625, 491832, 492075, 492480, 492660, 492800, 493350, 493680, 493920, 494000, 494208, 494592, 494802, 495000, 495040, 495495, 495558, 495616, 495720, 495880, 496125, 496128, 496584, 496800, 497250, 497420, 497664, 497952, 498036, 498134, 498636, 498750, 498960, 499200, 499800, 499851, 499928, 500094, 500175, 25852016738884976640000] *********** [500480, 500500, 500940, 501228, 501600, 501760, 502320, 502656, 502740, 503010, 503217, 503360, 503424, 503880, 503965, 504000, 504504, 504735, 504896, 504900, 505197, 505440, 505856, 506000, 506464, 506506, 506736, 506880, 507150, 507870, 508032, 508079, 508200, 508300, 508326, 508599, 508725, 509184, 509355, 509600, 509652, 510000, 510048, 510300, 510510, 510720, 511290, 511632, 511758, 511875, 512000, 512050, 512325, 512512, 512785, 513000, 513128, 513216, 513513, 513912, 514080, 514250, 514500, 514800, 514976, 515200, 515970, 516096, 516120, 516375, 516672, 516800, 517104, 517275, 517293, 517440, 517500, 518144, 518364, 518400, 518700, 519156, 519750, 519792, 520000, 520030, 520506, 520625, 520674, 521235, 521360, 521640, 521664, 522240, 522291, 522500, 522720, 523250, 523260, 523600, 25852016738884976640000] *********** [523908, 524160, 524288, 524400, 524790, 524875, 524880, 525096, 525312, 525504, 525525, 525987, 526240, 526500, 526592, 526680, 526848, 527436, 527850, 527877, 528000, 528528, 528768, 528770, 529074, 529200, 529254, 529375, 529920, 530145, 530400, 530712, 530955, 531300, 532000, 532224, 532480, 532532, 532818, 532950, 533120, 533520, 533610, 533715, 534336, 534600, 534820, 534888, 535040, 535080, 535325, 535500, 535808, 535815, 536250, 536256, 536452, 536544, 537030, 537472, 537600, 537625, 537966, 538200, 538384, 538560, 538650, 539000, 539136, 539539, 539784, 540000, 540189, 540540, 540672, 540960, 541450, 541728, 541926, 542080, 542640, 542685, 543312, 543375, 543400, 544000, 544320, 544500, 544544, 544635, 544768, 545292, 545376, 545468, 546000, 546250, 546480, 546750, 546975, 547162, 25852016738884976640000] *********** [547200, 547400, 547722, 548352, 548625, 548800, 548856, 548964, 549120, 549423, 549780, 550368, 550528, 550550, 550620, 550800, 551124, 551250, 551760, 551936, 552000, 552500, 552552, 552825, 552960, 553014, 553280, 553311, 553945, 554040, 554268, 554400, 555390, 555660, 555750, 555984, 556416, 556600, 556738, 556875, 556920, 557056, 557175, 557375, 557568, 557685, 557865, 558144, 558600, 558657, 558900, 559104, 559130, 559360, 559776, 559872, 560000, 560196, 560560, 560625, 561000, 561330, 561561, 561600, 561792, 562275, 562419, 563040, 563200, 563255, 563500, 564300, 564480, 565110, 565248, 565250, 565488, 565760, 565950, 566280, 566352, 566720, 566865, 567000, 567567, 567732, 568008, 568100, 568480, 568620, 569088, 569184, 569250, 569296, 569772, 570000, 570078, 570240, 570570, 570752, 25852016738884976640000] *********** [571200, 571536, 571725, 572000, 572033, 572832, 573300, 573440, 573496, 573750, 573804, 574080, 574464, 574560, 574750, 574770, 575575, 575586, 575960, 576000, 576576, 576840, 577024, 577125, 577269, 577368, 577500, 578151, 578340, 578816, 578864, 579150, 579348, 579462, 579600, 580125, 580608, 580635, 580800, 580944, 581256, 581400, 581742, 581875, 582120, 582400, 582912, 583100, 583200, 583440, 583680, 584430, 584766, 585000, 585200, 585728, 586040, 586245, 586432, 586500, 586530, 586845, 586872, 587328, 587520, 587860, 588000, 588060, 588544, 588588, 588800, 589050, 589680, 589824, 589875, 589950, 590733, 590976, 591192, 591360, 591675, 592020, 592416, 592515, 592704, 592800, 592900, 594000, 594048, 594320, 594594, 594864, 595000, 595056, 595350, 595595, 595840, 596160, 596505, 596700, 25852016738884976640000] *********** [596904, 597051, 597740, 598000, 598400, 598500, 598752, 599040, 599564, 599760, 600210, 600576, 600600, 600875, 601128, 601425, 601749, 601920, 601965, 602112, 602140, 602784, 603288, 603612, 603680, 603750, 604032, 604656, 604758, 604800, 605000, 605150, 605475, 605625, 605682, 605880, 606375, 606424, 606528, 607200, 607257, 607500, 607750, 608000, 608256, 608580, 608608, 609280, 609444, 609840, 609960, 610470, 611226, 611325, 611520, 611800, 612000, 612352, 612360, 612612, 612864, 613088, 613548, 614250, 614400, 614460, 614790, 615043, 615296, 615342, 615600, 615825, 616000, 616616, 616896, 617100, 617253, 617400, 617463, 617500, 617760, 618240, 618800, 619164, 619344, 619520, 619650, 619850, 620160, 620730, 620928, 621000, 621621, 621775, 622080, 622336, 622440, 622545, 622592, 623295, 25852016738884976640000] *********** [623392, 623700, 624000, 624036, 624750, 624910, 625328, 625482, 625600, 625625, 625632, 625968, 626175, 626535, 626688, 627000, 627200, 627264, 627627, 627900, 627912, 628320, 628425, 628992, 629200, 629280, 629748, 629850, 629856, 630000, 630630, 630784, 631120, 631125, 631488, 631800, 632016, 632247, 632320, 632500, 633080, 633420, 633600, 634524, 635040, 635250, 635375, 635904, 636174, 636272, 636480, 637000, 637065, 637146, 637560, 637875, 638400, 638976, 639009, 639540, 639744, 640000, 640224, 640332, 640458, 640640, 641250, 641410, 641520, 641784, 642048, 642096, 642390, 642600, 642978, 643125, 643500, 643720, 644000, 644436, 644644, 645120, 645150, 645183, 645840, 646000, 646272, 646380, 646646, 646800, 647680, 647955, 648000, 648375, 648648, 648945, 649152, 649740, 650496, 650624, 25852016738884976640000] *********** [651168, 651222, 651700, 652050, 652080, 652288, 652800, 653184, 653400, 653562, 653752, 653913, 654075, 654500, 654885, 655200, 655360, 655424, 655500, 655776, 656100, 656370, 656640, 656880, 657800, 658125, 658240, 658350, 658560, 658944, 659295, 659456, 659736, 660000, 660231, 660660, 660744, 660960, 661500, 661504, 662112, 662354, 662400, 663000, 663390, 663552, 663936, 664048, 664125, 664734, 664848, 665000, 665091, 665280, 665600, 665665, 666400, 666468, 666792, 666900, 667920, 668250, 668304, 668525, 668610, 668800, 668850, 669222, 669375, 669438, 669760, 670208, 670320, 670565, 670680, 670956, 671232, 671517, 671840, 672000, 672672, 672750, 672980, 673200, 673596, 673750, 673920, 674730, 675648, 675675, 675840, 675906, 676039, 676200, 676269, 677160, 677376, 677600, 677768, 678132, 25852016738884976640000] *********** [678300, 678699, 678912, 679140, 679250, 679536, 680000, 680064, 680238, 680400, 680625, 680680, 680960, 681615, 681720, 681835, 682176, 682227, 682344, 682500, 683100, 684000, 684250, 684288, 684684, 685216, 685440, 686000, 686070, 686205, 686400, 687225, 687401, 687960, 688128, 688160, 688275, 688500, 688896, 688905, 689472, 689700, 689724, 689920, 690000, 690690, 691152, 691200, 691600, 692208, 692550, 692835, 693000, 693056, 693693, 694008, 694232, 694575, 694980, 695520, 695552, 695750, 696150, 696320, 696388, 696762, 696960, 697680, 698250, 698544, 698625, 698880, 699200, 699720, 699840, 700128, 700245, 700416, 700672, 700700, 701250, 701316, 702000, 702240, 702464, 703248, 703494, 703800, 703836, 704000, 704214, 704375, 704704, 705024, 705375, 705432, 705551, 705600, 705672, 706401, 25852016738884976640000] *********** [706560, 706629, 706860, 707200, 707616, 707850, 707940, 708400, 708750, 709632, 709665, 710010, 710125, 710424, 710600, 710775, 711018, 711360, 711480, 711620, 712215, 712448, 712800, 713184, 713440, 714000, 714420, 714714, 715000, 715008, 715392, 715806, 716040, 716625, 716800, 716870, 717255, 717288, 717600, 718080, 718200, 718848, 719712, 719950, 720000, 720252, 720720, 720896, 721050, 721280, 721710, 722007, 722304, 722358, 722568, 722925, 723520, 723580, 724185, 724416, 724500, 725760, 726000, 726180, 726570, 726750, 727056, 727168, 727650, 728000, 728042, 728640, 728875, 729000, 729300, 729600, 729729, 730296, 731136, 731500, 731808, 731952, 732160, 732550, 732564, 733040, 733125, 733590, 733824, 734160, 734400, 734825, 734832, 735000, 735075, 735471, 735680, 735735, 736000, 736736, 25852016738884976640000] *********** [737100, 737280, 737352, 737748, 738720, 738990, 739024, 739200, 740025, 740278, 740520, 740880, 741000, 741125, 741312, 741888, 742203, 742500, 742560, 742900, 743337, 743424, 743580, 743820, 744192, 744800, 744876, 745200, 745472, 745875, 746130, 746368, 746496, 746928, 747054, 747175, 747201, 747500, 747954, 748000, 748125, 748440, 748748, 748800, 749056, 749455, 749700, 749892, 750141, 750720, 750750, 751410, 751842, 752400, 752640, 752675, 753480, 753664, 753984, 754110, 754515, 754600, 755040, 755136, 755820, 756000, 756756, 756976, 757344, 757350, 758030, 758160, 758784, 758912, 759000, 759696, 759759, 760000, 760104, 760320, 760725, 760760, 761600, 761805, 762048, 762300, 762450, 762489, 763776, 764400, 764478, 764750, 765000, 765072, 765440, 765450, 765765, 765952, 766080, 766360, 25852016738884976640000] *********** [766935, 767448, 768000, 768075, 768768, 769120, 769500, 769692, 769824, 770000, 770770, 770868, 771120, 771375, 771750, 772200, 772464, 772616, 772800, 773500, 773955, 774144, 774180, 774400, 774592, 775008, 775200, 775656, 776160, 776250, 777216, 777546, 777600, 777920, 778050, 778240, 778734, 779240, 779625, 779688, 780000, 780045, 780759, 781011, 781660, 782000, 782040, 782460, 782496, 782782, 783104, 783360, 783750, 784000, 784080, 784784, 784875, 784890, 785400, 785862, 786240, 786432, 786500, 786600, 787185, 787320, 787644, 787968, 788256, 788480, 788557, 788900, 789360, 789750, 789888, 790020, 790272, 790400, 791154, 791350, 791775, 792000, 792064, 792792, 793152, 793155, 793408, 793611, 793800, 793881, 794880, 795340, 795600, 795872, 796068, 796250, 796950, 798000, 798336, 798720, 25852016738884976640000] *********** [798798, 799227, 799425, 799680, 800280, 800415, 800768, 800800, 801504, 801900, 802230, 802332, 802560, 802620, 802816, 803250, 803712, 804375, 804384, 804650, 804678, 804816, 805000, 805376, 805545, 805805, 806208, 806344, 806400, 806949, 807300, 807500, 807576, 807840, 807975, 808500, 808704, 809600, 809676, 810000, 810810, 811008, 811440, 812175, 812592, 812889, 813120, 813280, 813960, 814625, 814968, 815100, 815360, 816000, 816480, 816750, 816816, 817152, 817190, 817938, 818064, 818125, 818202, 819000, 819200, 819280, 819375, 819720, 820125, 820456, 820743, 820800, 821100, 821583, 822250, 822528, 822800, 823004, 823200, 823284, 823446, 823680, 824320, 824670, 825552, 825792, 825825, 825930, 826200, 826875, 826880, 827640, 827904, 828000, 828750, 828828, 829440, 829521, 829920, 830060, 25852016738884976640000] *********** [831060, 831402, 831600, 832000, 832048, 833000, 833085, 833490, 833625, 833833, 833976, 834176, 834624, 834900, 835107, 835380, 835584, 836000, 836352, 836836, 837200, 837216, 837760, 837900, 838350, 838656, 838695, 839040, 839664, 839800, 839808, 840000, 840294, 840840, 841225, 841500, 841984, 841995, 842400, 842688, 842996, 844560, 844800, 845250, 846032, 846450, 846720, 847000, 847210, 847665, 847872, 847875, 848232, 848640, 848925, 849420, 849528, 850080, 850500, 850850, 851200, 851598, 851968, 852012, 852150, 852720, 852930, 852992, 853632, 853776, 853875, 853944, 854658, 855000, 855117, 855360, 855712, 855855, 856064, 856128, 856520, 856800, 857304, 857500, 858000, 859248, 859950, 860160, 860200, 860244, 860625, 860706, 861120, 861696, 861840, 862125, 862155, 862400, 863379, 863940, 25852016738884976640000] *********** [864000, 864500, 864864, 865260, 865536, 866052, 866250, 866320, 867328, 867510, 867790, 868224, 868296, 868725, 869022, 869193, 869400, 869440, 870400, 870485, 870912, 871200, 871416, 871884, 872100, 872613, 873180, 873600, 874000, 874368, 874650, 874800, 874874, 875160, 875520, 875840, 875875, 876645, 877149, 877500, 877800, 878080, 878592, 879060, 879648, 879750, 879795, 880000, 880308, 880880, 880992, 881280, 881790, 882000, 882090, 882816, 882882, 883200, 883575, 884000, 884520, 884736, 884925, 885248, 885500, 886312, 886464, 886788, 887040, 888030, 888250, 888624, 889056, 889200, 889350, 889525, 890560, 891000, 891072, 891480, 891800, 891891, 892296, 892500, 892584, 893025, 893760, 894240, 894608, 894976, 895050, 895356, 896000, 896610, 896896, 897000, 897600, 897750, 898128, 898560, 25852016738884976640000] *********** [898909, 899346, 899640, 900315, 900864, 900900, 901120, 901208, 901600, 901692, 902880, 903168, 903210, 904176, 904400, 904475, 904932, 905216, 905418, 905520, 905625, 906048, 906752, 906984, 907137, 907200, 907500, 907725, 908523, 908820, 908960, 909568, 909636, 909792, 910000, 910800, 911250, 911625, 912000, 912384, 912870, 912912, 913920, 914166, 914375, 914760, 914940, 915200, 915705, 916300, 916839, 917280, 917504, 917700, 918000, 918528, 918540, 918918, 919296, 919600, 919632, 920000, 920322, 920920, 921375, 921536, 921600, 921690, 922185, 922944, 923013, 923400, 923780, 924000, 924924, 925344, 925650, 926100, 926250, 926640, 927360, 928200, 928625, 928746, 929016, 929280, 929475, 929775, 930240, 931000, 931095, 931392, 931500, 931840, 931931, 932960, 933120, 933504, 933660, 933888, 25852016738884976640000] *********** [935000, 935088, 935550, 935935, 936000, 936054, 936320, 937125, 937365, 937664, 937992, 938223, 938400, 938448, 938952, 940032, 940500, 940576, 940800, 940896, 941850, 941868, 942080, 942172, 942480, 943250, 943488, 943800, 943920, 944622, 944775, 945000, 945945, 946176, 946220, 946680, 947232, 947700, 948024, 948480, 948640, 948750, 949620, 950130, 950400, 950912, 950950, 951786, 952000, 952560, 952875, 952952, 953344, 953856, 954261, 954408, 954569, 954720, 955500, 955719, 956340, 956384, 956800, 957440, 957600, 957950, 958464, 959310, 959616, 960000, 960336, 960498, 960687, 960960, 961400, 961875, 962115, 962280, 962676, 963072, 963144, 963424, 963585, 963900, 964467, 965250, 965580, 965770, 965888, 966000, 966654, 966875, 966966, 967680, 967725, 968000, 968240, 968760, 969000, 969408, 25852016738884976640000] .... Last fiddled with by a1call on 2021-10-04 at 03:04
 2021-10-04, 03:15 #9 alpertron     Aug 2002 Buenos Aires, Argentina 2·32·83 Posts All numbers between 1 and 100 are divisors of 100! but it appears that there are missing divisors in your list. Last fiddled with by alpertron on 2021-10-04 at 03:15
 2021-10-04, 03:18 #10 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 5·467 Posts I chose 23! not 100!. It takes too long to go through all the divisors. You can try changing the factorialFace variable to 100 if you are willing to wait ? period of time.
2021-10-04, 03:24   #11
slandrum

Jan 2021
California

20516 Posts

Quote:
 Originally Posted by alpertron All numbers between 1 and 100 are divisors of 100! but it appears that there are missing divisors in your list.
If you look at the code, it's not doing 100!, it's doing 23! - I assume it's just an example piece of code. However, it does leave out the factor 1.

edit: And by the time I looked at the code to see what it did and typed up a reply, it was already replied to.

Last fiddled with by slandrum on 2021-10-04 at 03:26

 Similar Threads Thread Thread Starter Forum Replies Last Post Alberico Lepore Alberico Lepore 1 2020-05-27 12:20 thorken Software 53 2019-01-29 15:34 Brain GPU Computing 20 2015-10-25 18:39 Khemikal796 Factoring 13 2005-04-15 15:21 GP2 Lounge 2 2003-12-03 14:13

All times are UTC. The time now is 18:50.

Thu Feb 2 18:50:29 UTC 2023 up 168 days, 16:19, 1 user, load averages: 1.04, 0.88, 0.95