32413 (number)
32,413 (thirtytwo thousand four hundred thirteen) is an odd fivedigits prime number following 32412 and preceding 32414. In scientific notation, it is written as 3.2413 × 10^{4}. The sum of its digits is 13. It has a total of 1 prime factor and 2 positive divisors. There are 32,412 positive integers (up to 32413) that are relatively prime to 32413.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 13
 Digital Root 4
Name
Short name  32 thousand 413 

Full name  thirtytwo thousand four hundred thirteen 
Notation
Scientific notation  3.2413 × 10^{4} 

Engineering notation  32.413 × 10^{3} 
Prime Factorization of 32413
Prime Factorization 32413
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  32413  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  10.386314855875  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 32,413 is 32413. Since it has a total of 1 prime factor, 32,413 is a prime number.
Divisors of 32413
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  32414  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  16207  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  180.03610748958  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999382982662  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 32,413 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 32,413) is 32,414, the average is 16,207.
Other Arithmetic Functions (n = 32413)
φ(n)  Euler Totient  32412  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  32412  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3481  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 32,412 positive integers (less than 32,413) that are coprime with 32,413. And there are approximately 3,481 prime numbers less than or equal to 32,413.
Divisibility of 32413
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  3  5  4 
32,413 is not divisible by any number less than or equal to 9.
Classification of 32413
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Shape (2D, centered)
 Star
By Powers
 Prime Power
 Square Free
Base conversion (32413)
Base  System  Value 

2  Binary  111111010011101 
3  Ternary  1122110111 
4  Quaternary  13322131 
5  Quinary  2014123 
6  Senary  410021 
8  Octal  77235 
10  Decimal  32413 
12  Duodecimal  16911 
16  Hexadecimal  7e9d 
20  Vigesimal  410d 
36  Base36  p0d 
Basic calculations (n = 32413)
Multiplication
n×yn×2  64826 

n×3  97239 
n×4  129652 
n×5  162065 
Division
n÷yn÷2  16206.500 

n÷3  10804.333 
n÷4  8103.250 
n÷5  6482.600 
Exponentiation
n^{y}n^{2}  1050602569 

n^{3}  34053181068997 
n^{4}  1103765757989399761 
n^{5}  35776359513710414453293 
Nth Root
^{y}√n^{2}√n  180.03610748958 

^{3}√n  31.884020258869 
^{4}√n  13.417753444209 
^{5}√n  7.9825904068605 
32413 as geometric shapes
Circle
Radius = nDiameter  64826 

Circumference  203656.88536161 
Area  3300565312.613 
Sphere
Radius = nVolume  1.4264163130363E+14 

Surface area  13202261250.452 
Circumference  203656.88536161 
Square
Length = nPerimeter  129652 

Area  1050602569 
Diagonal  45838.904197199 
Cube
Length = nSurface area  6303615414 

Volume  34053181068997 
Space diagonal  56140.96282573 
Equilateral Triangle
Length = nPerimeter  97239 

Area  454924257.0176 
Altitude  28070.481412865 
Triangular Pyramid
Length = nSurface area  1819697028.0704 

Volume  4013205875810.2 
Height  26465.10367761 
Cryptographic Hash Functions
md5  ea991922e5d2d407b59be72152863092 

sha1  9ce24f0b8e784117f5f76cd64f5eaeddf4bae1f1 
sha256  6d8bd7c8fa195b948a10c152983b3c2e68e812e9393d1b42e3eb02f5b7d2fb83 
sha512  c75fb47f49249d5209e82c2e5a4f34890246bbd810476ce3fc5d21f6b5b21a3756f07c59e95ccc3de68f753bba2b5a23be5f302b68944f28d444f0d167221716 
ripemd160  9c57aa869d0e90d705dd02b396046ba097293cf3 