127733 (number)
127,733 (one hundred twentyseven thousand seven hundred thirtythree) is an odd sixdigits prime number following 127732 and preceding 127734. In scientific notation, it is written as 1.27733 × 10^{5}. The sum of its digits is 23. It has a total of 1 prime factor and 2 positive divisors. There are 127,732 positive integers (up to 127733) that are relatively prime to 127733.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 23
 Digital Root 5
Name
Short name  127 thousand 733 

Full name  one hundred twentyseven thousand seven hundred thirtythree 
Notation
Scientific notation  1.27733 × 10^{5} 

Engineering notation  127.733 × 10^{3} 
Prime Factorization of 127733
Prime Factorization 127733
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  127733  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  11.757697426804  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 127,733 is 127733. Since it has a total of 1 prime factor, 127,733 is a prime number.
Divisors of 127733
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  127734  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  63867  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  357.39753776432  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999843424617  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 127,733 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 127,733) is 127,734, the average is 63,867.
Other Arithmetic Functions (n = 127733)
φ(n)  Euler Totient  127732  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  127732  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 11936  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 127,732 positive integers (less than 127,733) that are coprime with 127,733. And there are approximately 11,936 prime numbers less than or equal to 127,733.
Divisibility of 127733
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  4  5  5 
127,733 is not divisible by any number less than or equal to 9.
Classification of 127733
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (127733)
Base  System  Value 

2  Binary  11111001011110101 
3  Ternary  20111012212 
4  Quaternary  133023311 
5  Quinary  13041413 
6  Senary  2423205 
8  Octal  371365 
10  Decimal  127733 
12  Duodecimal  61b05 
16  Hexadecimal  1f2f5 
20  Vigesimal  fj6d 
36  Base36  2qk5 
Basic calculations (n = 127733)
Multiplication
n×yn×2  255466 

n×3  383199 
n×4  510932 
n×5  638665 
Division
n÷yn÷2  63866.500 

n÷3  42577.666 
n÷4  31933.250 
n÷5  25546.600 
Exponentiation
n^{y}n^{2}  16315719289 

n^{3}  2084055771941837 
n^{4}  266202695917446665521 
n^{5}  34002868957623214926993893 
Nth Root
^{y}√n^{2}√n  357.39753776432 

^{3}√n  50.361776048489 
^{4}√n  18.904960665506 
^{5}√n  10.501724537677 
127733 as geometric shapes
Circle
Radius = nDiameter  255466 

Circumference  802570.10884197 
Area  51257343856.356 
Sphere
Radius = nVolume  8.7296724037385E+15 

Surface area  205029375425.42 
Circumference  802570.10884197 
Square
Length = nPerimeter  510932 

Area  16315719289 
Diagonal  180641.7409626 
Cube
Length = nSurface area  97894315734 

Volume  2084055771941837 
Space diagonal  221240.0458032 
Equilateral Triangle
Length = nPerimeter  383199 

Area  7064913692.6449 
Altitude  110620.0229016 
Triangular Pyramid
Length = nSurface area  28259654770.58 

Volume  2.4560832811851E+14 
Height  104293.55777164 
Cryptographic Hash Functions
md5  e4e784da8f26fb45eff47525db202cae 

sha1  b692ae8c22ae47ab2de7b52690f52e27aa577c6a 
sha256  937f6b173fe3fbacc3a7701c5fa978c12f3dd21413d67f05c3bcc679fa7a395a 
sha512  871a0c89d8e2f26c2fdef8c4c3e7475c61fd69ab05ac6286019fdf104f7ae7a668c90a70b40559b3756f40a061a3d13d1f42537bddbb971ccbd21bbc7c6ba63a 
ripemd160  5e57219d270605c093ccc484f777d0f73d4d3038 