The number 21632
21632 is a composite number with 24 divisors. Its prime factorisation is × . Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 169, 208, 338, 416 … 21632.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21632 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21632 is composite. Its prime factorisation is
- 3
The divisors add up to 46665; without 21632 itself that is 25033, so 21632 is abundant (25033 is more than 21632). Euler's totient φ(21632) = 9984 numbers up to 21632 share no factor with it.
- 4
The digits of 21632 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21632 = 2^{7} \times 13^{2} \]21632 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 46665 |
| Euler totient φ(n) | 9984 |
| Square | 467943424 |
| Cube | 10122552147968 |
| Square root | 147.078210 (= 104√2) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1632 × |
21632 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand six hundred and thirty-two |
| Binary (base 2) | 101010010000000 |
| Octal (base 8) | 52200 |
| Hexadecimal (base 16) | 5480 |
| Base 3 | 1002200012 |
| As time | 21632 seconds = 6 h 0 min 32 s |
Is 21632 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21632 ÷ 2 = 10816) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21632 ÷ 4 = 5408) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (21632 ÷ 8 = 2704) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21632 a prime number?
No. 21632 = × , so it is divisible by 2.
What are the factors of 21632?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 169, 208, 338, 416, 676, 832, 1352, 1664, 2704, 5408, 10816, 21632.
What is 21632 in binary?
101010010000000 (hexadecimal 5480, octal 52200).
What is the square root of 21632?
About 147.0782, exactly 104√2.
Is 21632 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 21632?
It is a composite number with 24 divisors.