54001 (number)
54,001 (fiftyfour thousand one) is an odd fivedigits prime number following 54000 and preceding 54002. In scientific notation, it is written as 5.4001 × 10^{4}. The sum of its digits is 10. It has a total of 1 prime factor and 2 positive divisors. There are 54,000 positive integers (up to 54001) that are relatively prime to 54001.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 10
 Digital Root 1
Name
Short name  54 thousand 1 

Full name  fiftyfour thousand one 
Notation
Scientific notation  5.4001 × 10^{4} 

Engineering notation  54.001 × 10^{3} 
Prime Factorization of 54001
Prime Factorization 54001
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  54001  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  10.896757843893  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 54,001 is 54001. Since it has a total of 1 prime factor, 54,001 is a prime number.
Divisors of 54001
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  54002  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  27001  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  232.3811524199  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999629643347  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 54,001 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 54,001) is 54,002, the average is 27,001.
Other Arithmetic Functions (n = 54001)
φ(n)  Euler Totient  54000  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  54000  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5497  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 54,000 positive integers (less than 54,001) that are coprime with 54,001. And there are approximately 5,497 prime numbers less than or equal to 54,001.
Divisibility of 54001
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  3  1  1 
54,001 is not divisible by any number less than or equal to 9.
Classification of 54001
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (54001)
Base  System  Value 

2  Binary  1101001011110001 
3  Ternary  2202002001 
4  Quaternary  31023301 
5  Quinary  3212001 
6  Senary  1054001 
8  Octal  151361 
10  Decimal  54001 
12  Duodecimal  27301 
16  Hexadecimal  d2f1 
20  Vigesimal  6f01 
36  Base36  15o1 
Basic calculations (n = 54001)
Multiplication
n×yn×2  108002 

n×3  162003 
n×4  216004 
n×5  270005 
Division
n÷yn÷2  27000.500 

n÷3  18000.333 
n÷4  13500.250 
n÷5  10800.200 
Exponentiation
n^{y}n^{2}  2916108001 

n^{3}  157472748162001 
n^{4}  8503685873496216001 
n^{5}  459207540854669160270001 
Nth Root
^{y}√n^{2}√n  232.3811524199 

^{3}√n  37.797864814119 
^{4}√n  15.244053018141 
^{5}√n  8.84057189692 
54001 as geometric shapes
Circle
Radius = nDiameter  108002 

Circumference  339298.289773 
Area  9161223473.016 
Sphere
Radius = nVolume  6.5962030502178E+14 

Surface area  36644893892.064 
Circumference  339298.289773 
Square
Length = nPerimeter  216004 

Area  2916108001 
Diagonal  76368.94658171 
Cube
Length = nSurface area  17496648006 

Volume  157472748162001 
Space diagonal  93532.475659527 
Equilateral Triangle
Length = nPerimeter  162003 

Area  1262711804.5225 
Altitude  46766.237829763 
Triangular Pyramid
Length = nSurface area  5050847218.0901 

Volume  18558341346239 
Height  44091.631866678 
Cryptographic Hash Functions
md5  6d6994b8630cdef898f8a95a9e189174 

sha1  b7425d5de4f3d232b2daaef15e9dd062b90d1037 
sha256  d7ceb5c5d922c39007d8e6cfded63eca9a80dc5849f38d520b8fc5644ce576f1 
sha512  aac15237c6826b1279ed632b87c6c383777b19e33d0cc44c05698daf79b63bdcdda0827bf5541de3a2d447b31954a87abea0392100124153bc3e4180cc1c182b 
ripemd160  ad8144575dbe3058d641b6596497bd6302951b34 