85733 (number)
85,733 (eightyfive thousand seven hundred thirtythree) is an odd fivedigits prime number following 85732 and preceding 85734. In scientific notation, it is written as 8.5733 × 10^{4}. The sum of its digits is 26. It has a total of 1 prime factor and 2 positive divisors. There are 85,732 positive integers (up to 85733) that are relatively prime to 85733.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 26
 Digital Root 8
Name
Short name  85 thousand 733 

Full name  eightyfive thousand seven hundred thirtythree 
Notation
Scientific notation  8.5733 × 10^{4} 

Engineering notation  85.733 × 10^{3} 
Prime Factorization of 85733
Prime Factorization 85733
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  85733  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  11.358993094645  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 85,733 is 85733. Since it has a total of 1 prime factor, 85,733 is a prime number.
Divisors of 85733
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  85734  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  42867  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  292.80198086762  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999766720321  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 85,733 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 85,733) is 85,734, the average is 42,867.
Other Arithmetic Functions (n = 85733)
φ(n)  Euler Totient  85732  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  85732  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8337  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 85,732 positive integers (less than 85,733) that are coprime with 85,733. And there are approximately 8,337 prime numbers less than or equal to 85,733.
Divisibility of 85733
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  4  5  8 
85,733 is not divisible by any number less than or equal to 9.
Classification of 85733
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (85733)
Base  System  Value 

2  Binary  10100111011100101 
3  Ternary  11100121022 
4  Quaternary  110323211 
5  Quinary  10220413 
6  Senary  1500525 
8  Octal  247345 
10  Decimal  85733 
12  Duodecimal  41745 
16  Hexadecimal  14ee5 
20  Vigesimal  ae6d 
36  Base36  1u5h 
Basic calculations (n = 85733)
Multiplication
n×yn×2  171466 

n×3  257199 
n×4  342932 
n×5  428665 
Division
n÷yn÷2  42866.500 

n÷3  28577.666 
n÷4  21433.250 
n÷5  17146.600 
Exponentiation
n^{y}n^{2}  7350147289 

n^{3}  630150177527837 
n^{4}  54024665169994049521 
n^{5}  4631696619019099847583893 
Nth Root
^{y}√n^{2}√n  292.80198086762 

^{3}√n  44.094322450616 
^{4}√n  17.111457590387 
^{5}√n  9.6968260335657 
85733 as geometric shapes
Circle
Radius = nDiameter  171466 

Circumference  538676.32594043 
Area  23091168725.925 
Sphere
Radius = nVolume  2.639566891173E+15 

Surface area  92364674903.701 
Circumference  538676.32594043 
Square
Length = nPerimeter  342932 

Area  7350147289 
Diagonal  121244.77134293 
Cube
Length = nSurface area  44100883734 

Volume  630150177527837 
Space diagonal  148493.9118853 
Equilateral Triangle
Length = nPerimeter  257199 

Area  3182707136.9157 
Altitude  74246.955942651 
Triangular Pyramid
Length = nSurface area  12730828547.663 

Volume  74263910615973 
Height  70000.701372677 
Cryptographic Hash Functions
md5  9de7faa0f015ffcdcedf1b7d7405ebaf 

sha1  2e4f4690a3a351effef7cfd3f42711e90716ace3 
sha256  49ac4b58dd3707a95f381815d78095b49c9b4ff8da96433f5c0589edda94a455 
sha512  616216c4f89ca08204e9567f9e6e8fd253c0e380074506b3a29649f5d9702770371f3f8629afc6eb3630ce2b00caa4bafcb78b01a39c3155a75a2ccea5859703 
ripemd160  4a6a269e112f3e48d0c45f057f74b7afc06666b0 