The number 21336
21336 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 127. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 127 … 21336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21336 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21336 is composite. Its prime factorisation is
- 3
The divisors add up to 61440; without 21336 itself that is 40104, so 21336 is abundant (40104 is more than 21336). Euler's totient φ(21336) = 6048 numbers up to 21336 share no factor with it.
- 4
The digits of 21336 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21336 = 2^{3} \times 3 \times 7 \times 127 \]21336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 61440 |
| Euler totient φ(n) | 6048 |
| Square | 455224896 |
| Cube | 9712678381056 |
| Square root | 146.068477 (= 2√5334) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.1336 × |
21336 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and thirty-six |
| Binary (base 2) | 101001101011000 |
| Octal (base 8) | 51530 |
| Hexadecimal (base 16) | 5358 |
| Base 3 | 1002021020 |
| As time | 21336 seconds = 5 h 55 min 36 s |
Is 21336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21336 ÷ 2 = 10668) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21336 ÷ 3 = 7112) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21336 ÷ 4 = 5334) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21336 ÷ 6 = 3556) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (21336 ÷ 7 = 3048) | 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 (21336 ÷ 8 = 2667) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (21336 ÷ 12 = 1778) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21336 a prime number?
No. 21336 = × 3 × 7 × 127, so it is divisible by 2.
What are the factors of 21336?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 127, 168, 254, 381, 508, 762, 889, 1016, 1524, 1778, 2667, 3048, 3556, 5334, 7112, 10668, 21336.
What is 21336 in binary?
101001101011000 (hexadecimal 5358, octal 51530).
What is the square root of 21336?
About 146.0685, exactly 2√5334.
Is 21336 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 21336?
It is a composite number with 32 divisors.