The number 21304
21304 is a composite number with 8 divisors. Its prime factorisation is × 2663. Divisors (8): 1, 2, 4, 8, 2663, 5326, 10652, 21304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21304 is composite. Its prime factorisation is
- 3
The divisors add up to 39960; without 21304 itself that is 18656, so 21304 is deficient (18656 is less than 21304). Euler's totient φ(21304) = 10648 numbers up to 21304 share no factor with it.
- 4
The digits of 21304 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21304 = 2^{3} \times 2663 \]21304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39960 |
| Euler totient φ(n) | 10648 |
| Square | 453860416 |
| Cube | 9669042302464 |
| Square root | 145.958898 (= 2√5326) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.1304 × |
21304 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and four |
| Binary (base 2) | 101001100111000 |
| Octal (base 8) | 51470 |
| Hexadecimal (base 16) | 5338 |
| Base 3 | 1002020001 |
| As time | 21304 seconds = 5 h 55 min 4 s |
Is 21304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21304 ÷ 2 = 10652) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21304 ÷ 4 = 5326) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (21304 ÷ 8 = 2663) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21304 a prime number?
No. 21304 = × 2663, so it is divisible by 2.
What are the factors of 21304?
1, 2, 4, 8, 2663, 5326, 10652, 21304.
What is 21304 in binary?
101001100111000 (hexadecimal 5338, octal 51470).
What is the square root of 21304?
About 145.9589, exactly 2√5326.
Is 21304 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 21304?
It is a composite number with 8 divisors.