55931 (number)
55,931 (fiftyfive thousand nine hundred thirtyone) is an odd fivedigits prime number following 55930 and preceding 55932. In scientific notation, it is written as 5.5931 × 10^{4}. The sum of its digits is 23. It has a total of 1 prime factor and 2 positive divisors. There are 55,930 positive integers (up to 55931) that are relatively prime to 55931.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 23
 Digital Root 5
Name
Short name  55 thousand 931 

Full name  fiftyfive thousand nine hundred thirtyone 
Notation
Scientific notation  5.5931 × 10^{4} 

Engineering notation  55.931 × 10^{3} 
Prime Factorization of 55931
Prime Factorization 55931
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  55931  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  10.931874067148  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 55,931 is 55931. Since it has a total of 1 prime factor, 55,931 is a prime number.
Divisors of 55931
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  55932  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  27966  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  236.4973572791  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999642422942  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 55,931 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 55,931) is 55,932, the average is 27,966.
Other Arithmetic Functions (n = 55931)
φ(n)  Euler Totient  55930  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  55930  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5674  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 55,930 positive integers (less than 55,931) that are coprime with 55,931. And there are approximately 5,674 prime numbers less than or equal to 55,931.
Divisibility of 55931
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  1  5  1  3  5 
55,931 is not divisible by any number less than or equal to 9.
Classification of 55931
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (55931)
Base  System  Value 

2  Binary  1101101001111011 
3  Ternary  2211201112 
4  Quaternary  31221323 
5  Quinary  3242211 
6  Senary  1110535 
8  Octal  155173 
10  Decimal  55931 
12  Duodecimal  2844b 
16  Hexadecimal  da7b 
20  Vigesimal  6jgb 
36  Base36  175n 
Basic calculations (n = 55931)
Multiplication
n×yn×2  111862 

n×3  167793 
n×4  223724 
n×5  279655 
Division
n÷yn÷2  27965.500 

n÷3  18643.666 
n÷4  13982.750 
n÷5  11186.200 
Exponentiation
n^{y}n^{2}  3128276761 

n^{3}  174967647519491 
n^{4}  9786115493412651121 
n^{5}  547347225662062989848651 
Nth Root
^{y}√n^{2}√n  236.4973572791 

^{3}√n  38.242903834037 
^{4}√n  15.378470576722 
^{5}√n  8.9028799424128 
55931 as geometric shapes
Circle
Radius = nDiameter  111862 

Circumference  351424.83741586 
Area  9827771290.7533 
Sphere
Radius = nVolume  7.3290276808416E+14 

Surface area  39311085163.013 
Circumference  351424.83741586 
Square
Length = nPerimeter  223724 

Area  3128276761 
Diagonal  79098.37875709 
Cube
Length = nSurface area  18769660566 

Volume  174967647519491 
Space diagonal  96875.333718135 
Equilateral Triangle
Length = nPerimeter  167793 

Area  1354583572.5473 
Altitude  48437.666859067 
Triangular Pyramid
Length = nSurface area  5418334290.189 

Volume  20620135008215 
Height  45667.470267869 
Cryptographic Hash Functions
md5  13f82e34e49d957bf47270f8556b0d97 

sha1  ad65c8d5a867b364b2127b2a36485811afe8af66 
sha256  0f41909a63a5eb911104f3c7e9fe934d128aeb98a18f71cfe536a76fb16360bf 
sha512  0e86839ff2ddfae1ff62c2dff3ead097a678b6b13a5e343334a952c3129534576b1799eb6b4cbd5ac870b086cd7dc18bbd6caae86ab7bb8fd3105ecef631b3c7 
ripemd160  fe3615092f82a082d4febdcdb0356a5febe4138f 