The number 24960
24960 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 13. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30 … 24960.
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How to work it out
- 1
24960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24960 is composite. Its prime factorisation is
- 3
The divisors add up to 85680; without 24960 itself that is 60720, so 24960 is abundant (60720 is more than 24960). Euler's totient φ(24960) = 6144 numbers up to 24960 share no factor with it.
- 4
The digits of 24960 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24960 = 2^{7} \times 3 \times 5 \times 13 \]24960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 85680 |
| Euler totient φ(n) | 6144 |
| Square | 623001600 |
| Cube | 15550119936000 |
| Square root | 157.987341 (= 8√390) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.496 × |
24960 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and sixty |
| Binary (base 2) | 110000110000000 |
| Octal (base 8) | 60600 |
| Hexadecimal (base 16) | 6180 |
| Base 3 | 1021020110 |
| As time | 24960 seconds = 6 h 56 min 0 s |
Is 24960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24960 ÷ 2 = 12480) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24960 ÷ 3 = 8320) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24960 ÷ 4 = 6240) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24960 ÷ 5 = 4992) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24960 ÷ 6 = 4160) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (24960 ÷ 8 = 3120) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24960 ÷ 10 = 2496) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24960 ÷ 12 = 2080) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24960 a prime number?
No. 24960 = × 3 × 5 × 13, so it is divisible by 2.
What are the factors of 24960?
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 128, 130, 156, 160, 192, 195, 208, 240, 260, 312, 320, 384, 390, 416, 480, 520, 624, 640, 780, 832, 960, 1040, 1248, 1560, 1664, 1920, 2080, 2496, 3120, 4160, 4992, 6240, 8320, 12480, 24960.
What is 24960 in binary?
110000110000000 (hexadecimal 6180, octal 60600).
What is the square root of 24960?
About 157.9873, exactly 8√390.
Is 24960 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24960?
It is a composite number with 64 divisors.