The number 24882
24882 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 13 × 29. Divisors (32): 1, 2, 3, 6, 11, 13, 22, 26, 29, 33, 39, 58, 66, 78, 87, 143 … 24882.
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How to work it out
- 1
24882 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24882 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 24882 itself that is 35598, so 24882 is abundant (35598 is more than 24882). Euler's totient φ(24882) = 6720 numbers up to 24882 share no factor with it.
- 4
The digits of 24882 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24882 = 2 \times 3 \times 11 \times 13 \times 29 \]
24882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 6720 |
| Square | 619113924 |
| Cube | 15404792656968 |
| Square root | 157.740293 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.4882 × |
24882 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and eighty-two |
| Binary (base 2) | 110000100110010 |
| Octal (base 8) | 60462 |
| Hexadecimal (base 16) | 6132 |
| Base 3 | 1021010120 |
| As time | 24882 seconds = 6 h 54 min 42 s |
Is 24882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24882 ÷ 2 = 12441) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24882 ÷ 3 = 8294) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (24882 ÷ 6 = 4147) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24882 ÷ 11 = 2262) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24882 a prime number?
No. 24882 = 2 × 3 × 11 × 13 × 29, so it is divisible by 2.
What are the factors of 24882?
1, 2, 3, 6, 11, 13, 22, 26, 29, 33, 39, 58, 66, 78, 87, 143, 174, 286, 319, 377, 429, 638, 754, 858, 957, 1131, 1914, 2262, 4147, 8294, 12441, 24882.
What is 24882 in binary?
110000100110010 (hexadecimal 6132, octal 60462).
What is the square root of 24882?
About 157.7403.
Is 24882 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 24882?
It is a composite number with 32 divisors.