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Old 2021-06-15, 00:27   #12
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
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A safe amount of time has passed.

Today we know another prime factorization.
Specifically,

ifactor(1,357,928) is 2*2*2*11*13*1187.

This doesn't get old.

Matt
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Old 2021-06-15, 01:52   #13
Uncwilly
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Finding the full factorization of any number below 30 digits is effectively trivial. I just fed a 30 digit semipirime into Dario's ECM site and it found the 2 factors, each 15 digits, in 0.2 seconds.

Why don't you toot your trumpet elsewhere. Like in a rideshare car.

Last fiddled with by Uncwilly on 2021-06-15 at 01:53
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Old 2021-06-21, 05:01   #14
MattcAnderson
 
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"Matthew Anderson"
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Hi again all,

Today's favorite mega number starts with 1.7 million. I like those numbers.
And to avoid round numbers, I choose the number 1,712,121.
We see that 1,712,121 = 3 * 17 * 59 * 569.
I have a computer with special software, so I can do this factorization.
Also, factordb.com has a Factorize! button, so the capability is also online.
Additionally, Apertron has a nice online integer factorization calculator, so there are options.
Not everyone has factorization software, or knows about those websites.

I like to factor numbers.

Matt
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Old 2021-06-21, 14:09   #15
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In Mathematical Snapshots by Hugo Steinhaus there is a number called "mega." The notation is called "Steinhaus-Moser notation." The notation is, n in a triangle means n^n, n in a square is n in n triangles, and n in a circle means n in n squares. The number mega is 2 in a circle. OK, that's 2 in 2 squares. Now 2 in a square is 2 in 2 triangles. Two in a triangle is 2^2 or 4, and 4 in a triangle is 4^4 or 256. So mega is 256 in a square, or 256 in 256 triangles...

Steinhaus called the number 10 in a circle "megiston."
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Old 2021-07-08, 08:52   #16
MattcAnderson
 
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"Matthew Anderson"
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Hello interested parties,

Today’s mega-number is 1,222,222.
Since I am only typing on my cell phone,
I will not give you the joy of seeing its
Prime factorization. That is all for now.

Matt

PS This number 1,222,222 is my most favorite seven digit number.

Last fiddled with by MattcAnderson on 2021-08-24 at 02:27 Reason: most favorite
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Old 2021-07-08, 14:01   #17
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1222222 = 2 x 611111
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Old 2021-08-10, 02:48   #18
MattcAnderson
 
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Another almost most favorite mega number

1,234,567

and for those of you in front of a computer right now, we can use a tool to find out that

1,234,567 = 127*9721

Do you believe that the human race will be around in the year 9721?
Some believe that Armageddon may happen any day now.

Lets hope not.

Matt
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Old 2021-08-12, 06:25   #19
MattcAnderson
 
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Hi all again,

Today we look at a mega number.
1, 246, 824.

Enjoy

Matt
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Old 2021-08-13, 11:45   #20
MattcAnderson
 
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"Matthew Anderson"
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Hi again interested parties,

Today's favorite mega number is :

2,648,422 = 2*7*101*1873

Do you know the prime factorization of 1,001?

Try it.

Regards,
Matt
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Old 2021-08-14, 07:22   #21
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FYI

9,393,384 = 2*2*2*3*7*11*13*17.

Good Stuff

Matt
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Old 2021-08-15, 09:00   #22
gd_barnes
 
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All factors for numbers of 18 digits or fewer have already been stored in the factor database here:
http://factordb.com/

Just plug in whatever number you want there and you will have the factors as quick as your internet connection is. They are all already stored there. No calculation at all necessary. Great fun! :-)

For number greater than 18 digits the site will nearly instantly calculate the factors. No reason to waste your computer (or phone) resources.
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