54601 (number)
54,601 (fiftyfour thousand six hundred one) is an odd fivedigits prime number following 54600 and preceding 54602. In scientific notation, it is written as 5.4601 × 10^{4}. The sum of its digits is 16. It has a total of 1 prime factor and 2 positive divisors. There are 54,600 positive integers (up to 54601) that are relatively prime to 54601.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 16
 Digital Root 7
Name
Short name  54 thousand 601 

Full name  fiftyfour thousand six hundred one 
Notation
Scientific notation  5.4601 × 10^{4} 

Engineering notation  54.601 × 10^{3} 
Prime Factorization of 54601
Prime Factorization 54601
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  54601  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  10.907807476584  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 54,601 is 54601. Since it has a total of 1 prime factor, 54,601 is a prime number.
Divisors of 54601
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  54602  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  27301  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  233.66856870362  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999633713051  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 54,601 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 54,601) is 54,602, the average is 27,301.
Other Arithmetic Functions (n = 54601)
φ(n)  Euler Totient  54600  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  54600  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5552  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 54,600 positive integers (less than 54,601) that are coprime with 54,601. And there are approximately 5,552 prime numbers less than or equal to 54,601.
Divisibility of 54601
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  1  1  7 
54,601 is not divisible by any number less than or equal to 9.
Classification of 54601
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Shape (2D, centered)
 Centered Decagonal
By Powers
 Prime Power
 Square Free
Base conversion (54601)
Base  System  Value 

2  Binary  1101010101001001 
3  Ternary  2202220021 
4  Quaternary  31111021 
5  Quinary  3221401 
6  Senary  1100441 
8  Octal  152511 
10  Decimal  54601 
12  Duodecimal  27721 
16  Hexadecimal  d549 
20  Vigesimal  6ga1 
36  Base36  164p 
Basic calculations (n = 54601)
Multiplication
n×yn×2  109202 

n×3  163803 
n×4  218404 
n×5  273005 
Division
n÷yn÷2  27300.500 

n÷3  18200.333 
n÷4  13650.250 
n÷5  10920.200 
Exponentiation
n^{y}n^{2}  2981269201 

n^{3}  162780279643801 
n^{4}  8887966048831178401 
n^{5}  485291834232231171873001 
Nth Root
^{y}√n^{2}√n  233.66856870362 

^{3}√n  37.937339020457 
^{4}√n  15.286221531288 
^{5}√n  8.8601305149609 
54601 as geometric shapes
Circle
Radius = nDiameter  109202 

Circumference  343068.20095731 
Area  9365933420.2351 
Sphere
Radius = nVolume  6.8185244090434E+14 

Surface area  37463733680.94 
Circumference  343068.20095731 
Square
Length = nPerimeter  218404 

Area  2981269201 
Diagonal  77217.474719133 
Cube
Length = nSurface area  17887615206 

Volume  162780279643801 
Space diagonal  94571.706144068 
Equilateral Triangle
Length = nPerimeter  163803 

Area  1290927431.7931 
Altitude  47285.853072034 
Triangular Pyramid
Length = nSurface area  5163709727.1723 

Volume  19183839929929 
Height  44581.529815235 
Cryptographic Hash Functions
md5  7c18c315d71119489192f48f2b84ad73 

sha1  25eeb4c7c88864bd9837ab526ce7918fd7ce576c 
sha256  e7c27737a8725536ca3d453c972bd7744055ce8ed2ab6dfc00f5e102715042e2 
sha512  c757c2efe4304105feca50b245eb999abd1ab1fbace16f23b16ace8ecedcd6ccad9f8d233082db9ede41bf553a668945dfd602abab976a81b01dc2e5638f9720 
ripemd160  6ebb9b09778db31a8db633b5f0e5fa1d0d0c1021 