5736 (number)
5,736 (five thousand seven hundred thirtysix) is an even fourdigits composite number following 5735 and preceding 5737. In scientific notation, it is written as 5.736 × 10^{3}. The sum of its digits is 21. It has a total of 5 prime factors and 16 positive divisors. There are 1,904 positive integers (up to 5736) that are relatively prime to 5736.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 21
 Digital Root 3
Name
Short name  5 thousand 736 

Full name  five thousand seven hundred thirtysix 
Notation
Scientific notation  5.736 × 10^{3} 

Engineering notation  5.736 × 10^{3} 
Prime Factorization of 5736
Prime Factorization 2^{3} × 3 × 239
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  1434  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  0  Returns:

Λ(n)  Mangoldt function  0  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 5,736 is 2^{3} × 3 × 239. Since it has a total of 5 prime factors, 5,736 is a composite number.
Divisors of 5736
16 divisors
τ(n)  Total Divisors  16  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  14400  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  8664  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  900  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  75.736384915046  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  6.3733333333333  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 5,736 can be divided by 16 positive divisors (out of which 12 are even, and 4 are odd). The sum of these divisors (counting 5,736) is 14,400, the average is 900.
Other Arithmetic Functions (n = 5736)
φ(n)  Euler Totient  1904  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  476  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 758  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 1,904 positive integers (less than 5,736) that are coprime with 5,736. And there are approximately 758 prime numbers less than or equal to 5,736.
Divisibility of 5736
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  1  0  3  0  3 
The number 5,736 is divisible by 2, 3, 4, 6 and 8.
Classification of 5736
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Nonhypotenuse
Base conversion (5736)
Base  System  Value 

2  Binary  1011001101000 
3  Ternary  21212110 
4  Quaternary  1121220 
5  Quinary  140421 
6  Senary  42320 
8  Octal  13150 
10  Decimal  5736 
12  Duodecimal  33a0 
16  Hexadecimal  1668 
20  Vigesimal  e6g 
36  Base36  4fc 
Basic calculations (n = 5736)
Multiplication
n×yn×2  11472 

n×3  17208 
n×4  22944 
n×5  28680 
Division
n÷yn÷2  2868.000 

n÷3  1912.000 
n÷4  1434.000 
n÷5  1147.200 
Exponentiation
n^{y}n^{2}  32901696 

n^{3}  188724128256 
n^{4}  1082521599676416 
n^{5}  6209343895743922176 
Nth Root
^{y}√n^{2}√n  75.736384915046 

^{3}√n  17.900687634185 
^{4}√n  8.7026653914215 
^{5}√n  5.6457524092713 
5736 as geometric shapes
Circle
Radius = nDiameter  11472 

Circumference  36040.350921982 
Area  103363726.44424 
Sphere
Radius = nVolume  790525779845.58 

Surface area  413454905.77698 
Circumference  36040.350921982 
Square
Length = nPerimeter  22944 

Area  32901696 
Diagonal  8111.9289937721 
Cube
Length = nSurface area  197410176 

Volume  188724128256 
Space diagonal  9935.0434322151 
Equilateral Triangle
Length = nPerimeter  17208 

Area  14246852.281796 
Altitude  4967.5217161075 
Triangular Pyramid
Length = nSurface area  56987409.127186 

Volume  22241351810.556 
Height  4683.4243882014 
Cryptographic Hash Functions
md5  105e822401e5551873cc80584f19c649 

sha1  3c69c4b61641208b08dc9ca9b70bdfb4d483fb64 
sha256  5354c67c9c2aedfc0ce61aef916c3e78dc5af1b67b52e7eae1c52078f4c46f7d 
sha512  944436be191861ad79e6db66913405ece04eff40ac93e86e3448b617b3a5a3acd05ac481481064cb6ee7ffcd26cc7b843602ead874210f43cd1653caf1bafb91 
ripemd160  936ed6f9b89c044024d59c54ae9173c0ab1e38c6 