21825 (number)
21,825 (twentyone thousand eight hundred twentyfive) is an odd fivedigits composite number following 21824 and preceding 21826. In scientific notation, it is written as 2.1825 × 10^{4}. The sum of its digits is 18. It has a total of 5 prime factors and 18 positive divisors. There are 11,520 positive integers (up to 21825) that are relatively prime to 21825.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 5
 Sum of Digits 18
 Digital Root 9
Name
Short name  21 thousand 825 

Full name  twentyone thousand eight hundred twentyfive 
Notation
Scientific notation  2.1825 × 10^{4} 

Engineering notation  21.825 × 10^{3} 
Prime Factorization of 21825
Prime Factorization 3^{2} × 5^{2} × 97
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  1455  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 21,825 is 3^{2} × 5^{2} × 97. Since it has a total of 5 prime factors, 21,825 is a composite number.
Divisors of 21825
18 divisors
τ(n)  Total Divisors  18  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  39494  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  17669  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2194.111  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  147.73286702694  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  9.9470805692009  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 21,825 can be divided by 18 positive divisors (out of which 0 are even, and 18 are odd). The sum of these divisors (counting 21,825) is 39,494, the average is 21,94.,111.
Other Arithmetic Functions (n = 21825)
φ(n)  Euler Totient  11520  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  480  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2448  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  24  The number of ways n can be represented as the sum of 2 squares 
There are 11,520 positive integers (less than 21,825) that are coprime with 21,825. And there are approximately 2,448 prime numbers less than or equal to 21,825.
Divisibility of 21825
m  2  3  4  5  6  7  8  9 

n mod m  1  0  1  0  3  6  1  0 
The number 21,825 is divisible by 3, 5 and 9.
Classification of 21825
By Arithmetic functions
 Deficient
Expressible via specific sums
 Polite
Other numbers
 Frugal
Base conversion (21825)
Base  System  Value 

2  Binary  101010101000001 
3  Ternary  1002221100 
4  Quaternary  11111001 
5  Quinary  1144300 
6  Senary  245013 
8  Octal  52501 
10  Decimal  21825 
12  Duodecimal  10769 
16  Hexadecimal  5541 
20  Vigesimal  2eb5 
36  Base36  gu9 
Basic calculations (n = 21825)
Multiplication
n×yn×2  43650 

n×3  65475 
n×4  87300 
n×5  109125 
Division
n÷yn÷2  10912.500 

n÷3  7275.000 
n÷4  5456.250 
n÷5  4365.000 
Exponentiation
n^{y}n^{2}  476330625 

n^{3}  10395915890625 
n^{4}  226890864312890625 
n^{5}  4951893113628837890625 
Nth Root
^{y}√n^{2}√n  147.73286702694 

^{3}√n  27.945898935645 
^{4}√n  12.154541004371 
^{5}√n  7.3754895238737 
21825 as geometric shapes
Circle
Radius = nDiameter  43650 

Circumference  137130.51932919 
Area  1496436792.1798 
Sphere
Radius = nVolume  43546310652433 

Surface area  5985747168.7193 
Circumference  137130.51932919 
Square
Length = nPerimeter  87300 

Area  476330625 
Diagonal  30865.210998793 
Cube
Length = nSurface area  2857983750 

Volume  10395915890625 
Space diagonal  37802.008875191 
Equilateral Triangle
Length = nPerimeter  65475 

Area  206257210.92526 
Altitude  18901.004437595 
Triangular Pyramid
Length = nSurface area  825028843.70104 

Volume  1225170437151 
Height  17820.037878748 
Cryptographic Hash Functions
md5  4a9db268f4d80243421c37dd05cdacdb 

sha1  f5d25fd9462079dacdaf46bea92f7fb01b7e61d2 
sha256  4887ab643601d4abe994039c157949030469ee59347e2ce74781bd260bba02d1 
sha512  7c3473f49430de8af3b49435cfeb67d75e31a81636a39c64321803d9dd32774890c1d98fe854c139be3f261dffc48679706bee3585c94969c0255073715f3bb3 
ripemd160  dd0ac27ced24276624e87239e4bb1416e8657fc7 