9002 (number)
9,002 (nine thousand two) is an even fourdigits composite number following 9001 and preceding 9003. In scientific notation, it is written as 9.002 × 10^{3}. The sum of its digits is 11. It has a total of 3 prime factors and 8 positive divisors. There are 3,852 positive integers (up to 9002) that are relatively prime to 9002.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 11
 Digital Root 2
Name
Short name  9 thousand 2 

Full name  nine thousand two 
Notation
Scientific notation  9.002 × 10^{3} 

Engineering notation  9.002 × 10^{3} 
Prime Factorization of 9002
Prime Factorization 2 × 7 × 643
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  3  Total number of prime factors 
rad(n)  Radical  9002  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  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 9,002 is 2 × 7 × 643. Since it has a total of 3 prime factors, 9,002 is a composite number.
Divisors of 9002
8 divisors
τ(n)  Total Divisors  8  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  15456  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  6454  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1932  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  94.878870145043  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  4.6594202898551  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 9,002 can be divided by 8 positive divisors (out of which 4 are even, and 4 are odd). The sum of these divisors (counting 9,002) is 15,456, the average is 1,932.
Other Arithmetic Functions (n = 9002)
φ(n)  Euler Totient  3852  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  642  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 1122  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 3,852 positive integers (less than 9,002) that are coprime with 9,002. And there are approximately 1,122 prime numbers less than or equal to 9,002.
Divisibility of 9002
m  2  3  4  5  6  7  8  9 

n mod m  0  2  2  2  2  0  2  2 
The number 9,002 is divisible by 2 and 7.
Classification of 9002
By Arithmetic functions
 Arithmetic
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Square Free
Other numbers
 Sphenic
Base conversion (9002)
Base  System  Value 

2  Binary  10001100101010 
3  Ternary  110100102 
4  Quaternary  2030222 
5  Quinary  242002 
6  Senary  105402 
8  Octal  21452 
10  Decimal  9002 
12  Duodecimal  5262 
16  Hexadecimal  232a 
20  Vigesimal  12a2 
36  Base36  6y2 
Basic calculations (n = 9002)
Multiplication
n×yn×2  18004 

n×3  27006 
n×4  36008 
n×5  45010 
Division
n÷yn÷2  4501.000 

n÷3  3000.666 
n÷4  2250.500 
n÷5  1800.400 
Exponentiation
n^{y}n^{2}  81036004 

n^{3}  729486108008 
n^{4}  6566833944288016 
n^{5}  59114639166480720032 
Nth Root
^{y}√n^{2}√n  94.878870145043 

^{3}√n  20.802378919231 
^{4}√n  9.7405785323585 
^{5}√n  6.1782830594262 
9002 as geometric shapes
Circle
Radius = nDiameter  18004 

Circumference  56561.234135231 
Area  254582114.84267 
Sphere
Radius = nVolume  3055664263751.7 

Surface area  1018328459.3707 
Circumference  56561.234135231 
Square
Length = nPerimeter  36008 

Area  81036004 
Diagonal  12730.750488483 
Cube
Length = nSurface area  486216024 

Volume  729486108008 
Space diagonal  15591.921369735 
Equilateral Triangle
Length = nPerimeter  27006 

Area  35089619.042589 
Altitude  7795.9606848675 
Triangular Pyramid
Length = nSurface area  140358476.17035 

Volume  85970762292.306 
Height  7350.1022215114 
Cryptographic Hash Functions
md5  f3957fa3bea9138b3f54f0e18975a30c 

sha1  c0af30a77aa72ff1a71ebeb604a3f5ae01e1e6da 
sha256  e609d533127c0ec82085faf4f164a2957f866ece2ac65d7401f2c7285eade435 
sha512  f15f0403b36f98c361ed57fa6da0c498ab31cca6306033b35bb6d305b12edc0f56608a40983461c5ba3513475ecb8869bbab01aadb8ea55f8c7f790c109774d1 
ripemd160  6eac0217b136c00e8794229ef5b8e1c4a9ee0857 