9996 (number)
9,996 (nine thousand nine hundred ninetysix) is an even fourdigits composite number following 9995 and preceding 9997. In scientific notation, it is written as 9.996 × 10^{3}. The sum of its digits is 33. It has a total of 6 prime factors and 36 positive divisors. There are 2,688 positive integers (up to 9996) that are relatively prime to 9996.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 33
 Digital Root 6
Name
Short name  9 thousand 996 

Full name  nine thousand nine hundred ninetysix 
Notation
Scientific notation  9.996 × 10^{3} 

Engineering notation  9.996 × 10^{3} 
Prime Factorization of 9996
Prime Factorization 2^{2} × 3 × 7^{2} × 17
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  714  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 9,996 is 2^{2} × 3 × 7^{2} × 17. Since it has a total of 6 prime factors, 9,996 is a composite number.
Divisors of 9996
36 divisors
τ(n)  Total Divisors  36  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  28728  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  18732  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  798  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  99.9799979996  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  12.526315789474  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 9,996 can be divided by 36 positive divisors (out of which 24 are even, and 12 are odd). The sum of these divisors (counting 9,996) is 28,728, the average is 798.
Other Arithmetic Functions (n = 9996)
φ(n)  Euler Totient  2688  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  336  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 1230  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 2,688 positive integers (less than 9,996) that are coprime with 9,996. And there are approximately 1,230 prime numbers less than or equal to 9,996.
Divisibility of 9996
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  1  0  0  4  6 
The number 9,996 is divisible by 2, 3, 4, 6 and 7.
Classification of 9996
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (9996)
Base  System  Value 

2  Binary  10011100001100 
3  Ternary  111201020 
4  Quaternary  2130030 
5  Quinary  304441 
6  Senary  114140 
8  Octal  23414 
10  Decimal  9996 
12  Duodecimal  5950 
16  Hexadecimal  270c 
20  Vigesimal  14jg 
36  Base36  7po 
Basic calculations (n = 9996)
Multiplication
n×yn×2  19992 

n×3  29988 
n×4  39984 
n×5  49980 
Division
n÷yn÷2  4998.000 

n÷3  3332.000 
n÷4  2499.000 
n÷5  1999.200 
Exponentiation
n^{y}n^{2}  99920016 

n^{3}  998800479936 
n^{4}  9984009597440256 
n^{5}  99800159936012798976 
Nth Root
^{y}√n^{2}√n  99.9799979996 

^{3}√n  21.541473937636 
^{4}√n  9.998999849965 
^{5}√n  6.3090685981444 
9996 as geometric shapes
Circle
Radius = nDiameter  19992 

Circumference  62806.720330567 
Area  313907988.21217 
Sphere
Radius = nVolume  4183765666891.9 

Surface area  1255631952.8487 
Circumference  62806.720330567 
Square
Length = nPerimeter  39984 

Area  99920016 
Diagonal  14136.478769481 
Cube
Length = nSurface area  599520096 

Volume  998800479936 
Space diagonal  17313.579872458 
Equilateral Triangle
Length = nPerimeter  29988 

Area  43266636.101274 
Altitude  8656.7899362292 
Triangular Pyramid
Length = nSurface area  173066544.4051 

Volume  117709765402.52 
Height  8161.6998229535 
Cryptographic Hash Functions
md5  812649f8ed0e2e1d911298ec67ed9e61 

sha1  05ae1d074da61cba2cb7875d79ea2907cd20111f 
sha256  d70d2ccb2ac9e2633db8fd6831748ee766aa3f449f36a2b06d7acfb75af457bb 
sha512  a317e10ebcf4b04e88ed6ba336591a139a8e7a006c2275922656928389067d0fb9fa235e169c338cebaf0ef54ad9fceda409733783961e0aeb902b3a853ba8e9 
ripemd160  93d56982b6f721b558d65d967bbf93d9fec0cf4c 