25541 (number)
25,541 (twentyfive thousand five hundred fortyone) is an odd fivedigits prime number following 25540 and preceding 25542. In scientific notation, it is written as 2.5541 × 10^{4}. The sum of its digits is 17. It has a total of 1 prime factor and 2 positive divisors. There are 25,540 positive integers (up to 25541) that are relatively prime to 25541.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 17
 Digital Root 8
Name
Short name  25 thousand 541 

Full name  twentyfive thousand five hundred fortyone 
Notation
Scientific notation  2.5541 × 10^{4} 

Engineering notation  25.541 × 10^{3} 
Prime Factorization of 25541
Prime Factorization 25541
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  25541  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  10.148040283088  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 25,541 is 25541. Since it has a total of 1 prime factor, 25,541 is a prime number.
Divisors of 25541
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  25542  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  12771  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  159.81551864572  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999216975961  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 25,541 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 25,541) is 25,542, the average is 12,771.
Other Arithmetic Functions (n = 25541)
φ(n)  Euler Totient  25540  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  25540  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2815  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 25,540 positive integers (less than 25,541) that are coprime with 25,541. And there are approximately 2,815 prime numbers less than or equal to 25,541.
Divisibility of 25541
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  1  5  5  5  8 
25,541 is not divisible by any number less than or equal to 9.
Classification of 25541
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (25541)
Base  System  Value 

2  Binary  110001111000101 
3  Ternary  1022000222 
4  Quaternary  12033011 
5  Quinary  1304131 
6  Senary  314125 
8  Octal  61705 
10  Decimal  25541 
12  Duodecimal  12945 
16  Hexadecimal  63c5 
20  Vigesimal  33h1 
36  Base36  jph 
Basic calculations (n = 25541)
Multiplication
n×yn×2  51082 

n×3  76623 
n×4  102164 
n×5  127705 
Division
n÷yn÷2  12770.500 

n÷3  8513.666 
n÷4  6385.250 
n÷5  5108.200 
Exponentiation
n^{y}n^{2}  652342681 

n^{3}  16661484415421 
n^{4}  425550973454267761 
n^{5}  10868997412995452883701 
Nth Root
^{y}√n^{2}√n  159.81551864572 

^{3}√n  29.449593129415 
^{4}√n  12.641816271633 
^{5}√n  7.6111026527785 
25541 as geometric shapes
Circle
Radius = nDiameter  51082 

Circumference  160478.83593067 
Area  2049394974.2527 
Sphere
Radius = nVolume  69791462716517 

Surface area  8197579897.0107 
Circumference  160478.83593067 
Square
Length = nPerimeter  102164 

Area  652342681 
Diagonal  36120.428596571 
Cube
Length = nSurface area  3914056086 

Volume  16661484415421 
Space diagonal  44238.309676117 
Equilateral Triangle
Length = nPerimeter  76623 

Area  282472666.85942 
Altitude  22119.154838058 
Triangular Pyramid
Length = nSurface area  1129890667.4377 

Volume  1963574769129.7 
Height  20854.139173475 
Cryptographic Hash Functions
md5  7377f47f95a1202ea8d330061b674dea 

sha1  e2be58d4d2cbff2d390a59f05ba536789b3c7de5 
sha256  084d961bb79b2b626a6f04889fe53b267b6fdc82504667ce591d587de95def6c 
sha512  6566c85ca537a683d8329ff83caeaefdb9c23ea8ae4b58d81f46621a1a8d01fcf7822f4733926239be40e130a60a95561e86ff221b5d1fce8faad408158c59e2 
ripemd160  7e3b48047cc89594fa2abb637fd13e3c0a06340e 