25693 (number)
25,693 (twentyfive thousand six hundred ninetythree) is an odd fivedigits prime number following 25692 and preceding 25694. In scientific notation, it is written as 2.5693 × 10^{4}. The sum of its digits is 25. It has a total of 1 prime factor and 2 positive divisors. There are 25,692 positive integers (up to 25693) that are relatively prime to 25693.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 25
 Digital Root 7
Name
Short name  25 thousand 693 

Full name  twentyfive thousand six hundred ninetythree 
Notation
Scientific notation  2.5693 × 10^{4} 

Engineering notation  25.693 × 10^{3} 
Prime Factorization of 25693
Prime Factorization 25693
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  25693  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.153973860242  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 25,693 is 25693. Since it has a total of 1 prime factor, 25,693 is a prime number.
Divisors of 25693
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  25694  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  12847  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  160.29036153182  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999221608158  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 25,693 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 25,693) is 25,694, the average is 12,847.
Other Arithmetic Functions (n = 25693)
φ(n)  Euler Totient  25692  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  25692  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2830  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 25,692 positive integers (less than 25,693) that are coprime with 25,693. And there are approximately 2,830 prime numbers less than or equal to 25,693.
Divisibility of 25693
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  3  5  7 
25,693 is not divisible by any number less than or equal to 9.
Classification of 25693
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (25693)
Base  System  Value 

2  Binary  110010001011101 
3  Ternary  1022020121 
4  Quaternary  12101131 
5  Quinary  1310233 
6  Senary  314541 
8  Octal  62135 
10  Decimal  25693 
12  Duodecimal  12a51 
16  Hexadecimal  645d 
20  Vigesimal  344d 
36  Base36  jtp 
Basic calculations (n = 25693)
Multiplication
n×yn×2  51386 

n×3  77079 
n×4  102772 
n×5  128465 
Division
n÷yn÷2  12846.500 

n÷3  8564.333 
n÷4  6423.250 
n÷5  5138.600 
Exponentiation
n^{y}n^{2}  660130249 

n^{3}  16960726487557 
n^{4}  435771945644802001 
n^{5}  11196288599451897811693 
Nth Root
^{y}√n^{2}√n  160.29036153182 

^{3}√n  29.507897914063 
^{4}√n  12.660582985464 
^{5}√n  7.6201402271961 
25693 as geometric shapes
Circle
Radius = nDiameter  51386 

Circumference  161433.88009737 
Area  2073860340.6708 
Sphere
Radius = nVolume  71044924977140 

Surface area  8295441362.6832 
Circumference  161433.88009737 
Square
Length = nPerimeter  102772 

Area  660130249 
Diagonal  36335.389058052 
Cube
Length = nSurface area  3960781494 

Volume  16960726487557 
Space diagonal  44501.581398867 
Equilateral Triangle
Length = nPerimeter  77079 

Area  285844782.72027 
Altitude  22250.790699434 
Triangular Pyramid
Length = nSurface area  1143379130.8811 

Volume  1998840785533.6 
Height  20978.246653776 
Cryptographic Hash Functions
md5  0feccde63fa107fadd9e5d43a5ae60ef 

sha1  94c6c1cca4fee05ea4b5715d6f9237631eee3161 
sha256  78b60293cc71380498af0bb9b1bfe1e5c860a89dcefdf12ba7e91252c911e026 
sha512  5bf511ff8e37dbfe5017fbbd78438a6b2e00ec890615d2092da17369fd258892acad666fdb614de46ff180ef760f59672024221af8ef4e3c08cabb1658326b30 
ripemd160  d118ac593c2c3eec697501c224a8ff28ba1a0549 