54401 (number)
54,401 (fiftyfour thousand four hundred one) is an odd fivedigits prime number following 54400 and preceding 54402. In scientific notation, it is written as 5.4401 × 10^{4}. The sum of its digits is 14. It has a total of 1 prime factor and 2 positive divisors. There are 54,400 positive integers (up to 54401) that are relatively prime to 54401.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 14
 Digital Root 5
Name
Short name  54 thousand 401 

Full name  fiftyfour thousand four hundred one 
Notation
Scientific notation  5.4401 × 10^{4} 

Engineering notation  54.401 × 10^{3} 
Prime Factorization of 54401
Prime Factorization 54401
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  54401  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  10.904137815028  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 54,401 is 54401. Since it has a total of 1 prime factor, 54,401 is a prime number.
Divisors of 54401
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  54402  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  27201  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  233.24021951627  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999632366457  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 54,401 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 54,401) is 54,402, the average is 27,201.
Other Arithmetic Functions (n = 54401)
φ(n)  Euler Totient  54400  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  54400  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5534  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 54,400 positive integers (less than 54,401) that are coprime with 54,401. And there are approximately 5,534 prime numbers less than or equal to 54,401.
Divisibility of 54401
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  1  5  4  1  5 
54,401 is not divisible by any number less than or equal to 9.
Classification of 54401
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (54401)
Base  System  Value 

2  Binary  1101010010000001 
3  Ternary  2202121212 
4  Quaternary  31102001 
5  Quinary  3220101 
6  Senary  1055505 
8  Octal  152201 
10  Decimal  54401 
12  Duodecimal  27595 
16  Hexadecimal  d481 
20  Vigesimal  6g01 
36  Base36  15z5 
Basic calculations (n = 54401)
Multiplication
n×yn×2  108802 

n×3  163203 
n×4  217604 
n×5  272005 
Division
n÷yn÷2  27200.500 

n÷3  18133.666 
n÷4  13600.250 
n÷5  10880.200 
Exponentiation
n^{y}n^{2}  2959468801 

n^{3}  160998062243201 
n^{4}  8758455584092377601 
n^{5}  476468742230209433872001 
Nth Root
^{y}√n^{2}√n  233.24021951627 

^{3}√n  37.890961659601 
^{4}√n  15.272204147283 
^{5}√n  8.8536301645956 
54401 as geometric shapes
Circle
Radius = nDiameter  108802 

Circumference  341811.56389588 
Area  9297445443.7498 
Sphere
Radius = nVolume  6.7438710611391E+14 

Surface area  37189781774.999 
Circumference  341811.56389588 
Square
Length = nPerimeter  217604 

Area  2959468801 
Diagonal  76934.632006659 
Cube
Length = nSurface area  17756812806 

Volume  160998062243201 
Space diagonal  94225.295982554 
Equilateral Triangle
Length = nPerimeter  163203 

Area  1281487581.6867 
Altitude  47112.647991277 
Triangular Pyramid
Length = nSurface area  5125950326.7469 

Volume  18973803595010 
Height  44418.230499049 
Cryptographic Hash Functions
md5  b52b6fdb906d03eb3fbba47a3e70240d 

sha1  6f668a240075fb968270978ba9543f827f8238c4 
sha256  c2aeeffcce73969117da1c569b6ebb4f058b0bc333764059aedc4aa8e9c9ada9 
sha512  974a1dad71bf3747685bf94fce9bcf82c9311f8ce2276c44bf8911baa26b57736981cdf7aad18a9a0a9c11e3d86966f45fe0fae0138613073b59d3103bf9af9f 
ripemd160  b6174b2b8fcb2014e2b9ee8092dc0b6c93352ec1 