The number 24880
24880 is a composite number with 20 divisors. Its prime factorisation is × 5 × 311. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 311, 622, 1244, 1555, 2488, 3110 … 24880.
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How to work it out
- 1
24880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24880 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 24880 itself that is 33152, so 24880 is abundant (33152 is more than 24880). Euler's totient φ(24880) = 9920 numbers up to 24880 share no factor with it.
- 4
The digits of 24880 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24880 = 2^{4} \times 5 \times 311 \]24880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 9920 |
| Square | 619014400 |
| Cube | 15401078272000 |
| Square root | 157.733953 (= 4√1555) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.488 × |
24880 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and eighty |
| Binary (base 2) | 110000100110000 |
| Octal (base 8) | 60460 |
| Hexadecimal (base 16) | 6130 |
| Base 3 | 1021010111 |
| As time | 24880 seconds = 6 h 54 min 40 s |
Is 24880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24880 ÷ 2 = 12440) | 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 (24880 ÷ 4 = 6220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24880 ÷ 5 = 4976) | 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 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 (24880 ÷ 8 = 3110) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24880 ÷ 10 = 2488) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 24880 a prime number?
No. 24880 = × 5 × 311, so it is divisible by 2.
What are the factors of 24880?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 311, 622, 1244, 1555, 2488, 3110, 4976, 6220, 12440, 24880.
What is 24880 in binary?
110000100110000 (hexadecimal 6130, octal 60460).
What is the square root of 24880?
About 157.7340, exactly 4√1555.
Is 24880 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 24880?
It is a composite number with 20 divisors.