58313 (number)
58,313 (fiftyeight thousand three hundred thirteen) is an odd fivedigits prime number following 58312 and preceding 58314. In scientific notation, it is written as 5.8313 × 10^{4}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 58,312 positive integers (up to 58313) that are relatively prime to 58313.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 20
 Digital Root 2
Name
Short name  58 thousand 313 

Full name  fiftyeight thousand three hundred thirteen 
Notation
Scientific notation  5.8313 × 10^{4} 

Engineering notation  58.313 × 10^{3} 
Prime Factorization of 58313
Prime Factorization 58313
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  58313  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  10.973580332044  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 58,313 is 58313. Since it has a total of 1 prime factor, 58,313 is a prime number.
Divisors of 58313
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  58314  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  29157  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  241.48084810187  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999657029187  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 58,313 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 58,313) is 58,314, the average is 29,157.
Other Arithmetic Functions (n = 58313)
φ(n)  Euler Totient  58312  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  58312  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5890  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 58,312 positive integers (less than 58,313) that are coprime with 58,313. And there are approximately 5,890 prime numbers less than or equal to 58,313.
Divisibility of 58313
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  3  1  2 
58,313 is not divisible by any number less than or equal to 9.
Classification of 58313
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (58313)
Base  System  Value 

2  Binary  1110001111001001 
3  Ternary  2221222202 
4  Quaternary  32033021 
5  Quinary  3331223 
6  Senary  1125545 
8  Octal  161711 
10  Decimal  58313 
12  Duodecimal  298b5 
16  Hexadecimal  e3c9 
20  Vigesimal  75fd 
36  Base36  18zt 
Basic calculations (n = 58313)
Multiplication
n×yn×2  116626 

n×3  174939 
n×4  233252 
n×5  291565 
Division
n÷yn÷2  29156.500 

n÷3  19437.666 
n÷4  14578.250 
n÷5  11662.600 
Exponentiation
n^{y}n^{2}  3400405969 

n^{3}  198287873270297 
n^{4}  11562760754010828961 
n^{5}  674259267848633469202793 
Nth Root
^{y}√n^{2}√n  241.48084810187 

^{3}√n  38.778272810877 
^{4}√n  15.539654053481 
^{5}√n  8.9774516948119 
58313 as geometric shapes
Circle
Radius = nDiameter  116626 

Circumference  366391.38481756 
Area  10682690411.433 
Sphere
Radius = nVolume  8.3058630128255E+14 

Surface area  42730761645.733 
Circumference  366391.38481756 
Square
Length = nPerimeter  233252 

Area  3400405969 
Diagonal  82467.035462662 
Cube
Length = nSurface area  20402435814 

Volume  198287873270297 
Space diagonal  101001.07874176 
Equilateral Triangle
Length = nPerimeter  174939 

Area  1472418976.1671 
Altitude  50500.539370882 
Triangular Pyramid
Length = nSurface area  5889675904.6685 

Volume  23368449969414 
Height  47612.365123638 
Cryptographic Hash Functions
md5  efcf1ec175548bff9bd29d6ab139a180 

sha1  6a3abf5c24b34c91060305906d11c0a359fbbdc0 
sha256  19869af7e87cfd50551f05a87b62d3362f70b8b7d9c857d082f2c2fc6cd85612 
sha512  fa20bcf079375703f6ec904b3571113562fa28222598ed82a7a2d885a8c7b8109e4704fd86298303ee950b340f2abe651af3ba3d21550ed2c08aa002da95fd40 
ripemd160  f3661b6fadace3768e3ce71288209939f220e584 