# 21204 (number)

21,204 (twenty-one thousand two hundred four) is an even five-digits composite number following 21203 and preceding 21205. In scientific notation, it is written as 2.1204 × 104. The sum of its digits is 9. It has a total of 6 prime factors and 36 positive divisors. There are 6,480 positive integers (up to 21204) that are relatively prime to 21204.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 9
• Digital Root 9

## Name

Short name 21 thousand 204 twenty-one thousand two hundred four

## Notation

Scientific notation 2.1204 × 104 21.204 × 103

## Prime Factorization of 21204

Prime Factorization 22 × 32 × 19 × 31

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 3534 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 21,204 is 22 × 32 × 19 × 31. Since it has a total of 6 prime factors, 21,204 is a composite number.

## Divisors of 21204

1, 2, 3, 4, 6, 9, 12, 18, 19, 31, 36, 38, 57, 62, 76, 93, 114, 124, 171, 186, 228, 279, 342, 372, 558, 589, 684, 1116, 1178, 1767, 2356, 3534, 5301, 7068, 10602, 21204

36 divisors

 Even divisors 24 12 6 6
Total Divisors Sum of Divisors Aliquot Sum τ(n) 36 Total number of the positive divisors of n σ(n) 58240 Sum of all the positive divisors of n s(n) 37036 Sum of the proper positive divisors of n A(n) 1617.78 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 145.616 Returns the nth root of the product of n divisors H(n) 13.1069 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 21,204 can be divided by 36 positive divisors (out of which 24 are even, and 12 are odd). The sum of these divisors (counting 21,204) is 58,240, the average is 16,17.,777.

## Other Arithmetic Functions (n = 21204)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 6480 Total number of positive integers not greater than n that are coprime to n λ(n) 90 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 2387 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 6,480 positive integers (less than 21,204) that are coprime with 21,204. And there are approximately 2,387 prime numbers less than or equal to 21,204.

## Divisibility of 21204

 m n mod m 2 3 4 5 6 7 8 9 0 0 0 4 0 1 4 0

The number 21,204 is divisible by 2, 3, 4, 6 and 9.

## Classification of 21204

• Refactorable
• Abundant

### Expressible via specific sums

• Polite
• Practical
• Non-hypotenuse

## Base conversion (21204)

Base System Value
2 Binary 101001011010100
3 Ternary 1002002100
4 Quaternary 11023110
5 Quinary 1134304
6 Senary 242100
8 Octal 51324
10 Decimal 21204
12 Duodecimal 10330
20 Vigesimal 2d04
36 Base36 gd0

## Basic calculations (n = 21204)

### Multiplication

n×y
 n×2 42408 63612 84816 106020

### Division

n÷y
 n÷2 10602 7068 5301 4240.8

### Exponentiation

ny
 n2 449609616 9533522297664 202148806799667456 4286363299380148737024

### Nth Root

y√n
 2√n 145.616 27.6783 12.0671 7.33303

## 21204 as geometric shapes

### Circle

 Diameter 42408 133229 1.41249e+09

### Sphere

 Volume 3.99339e+13 5.64996e+09 133229

### Square

Length = n
 Perimeter 84816 4.4961e+08 29987

### Cube

Length = n
 Surface area 2.69766e+09 9.53352e+12 36726.4

### Equilateral Triangle

Length = n
 Perimeter 63612 1.94687e+08 18363.2

### Triangular Pyramid

Length = n
 Surface area 7.78747e+08 1.12354e+12 17313

## Cryptographic Hash Functions

md5 3bd80cc75f3bee69358296a3c4d8f01e 2afc90d8bd87517f0701c39d2e9e53bb6a23b08b 3c6e6f719fdf6af64ab0b286f8ccce1447f2a9e459da05a05cc36e27ab671d23 84610a9f545226fe07746ebd86097a2a4e9321b4a8b11441117189b1030aab40576d5f3f5f7a27be951cd1108e7c7007d9ebd77661fa3810030608677899374f bceb7ef6f4b8b97a023b08352414b940ec7d048f
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