The number 12624
12624 is a composite number with 20 divisors. Its prime factorisation is × 3 × 263. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 263, 526, 789, 1052, 1578, 2104 … 12624.
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How to work it out
- 1
12624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12624 is composite. Its prime factorisation is
- 3
The divisors add up to 32736; without 12624 itself that is 20112, so 12624 is abundant (20112 is more than 12624). Euler's totient φ(12624) = 4192 numbers up to 12624 share no factor with it.
- 4
The digits of 12624 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12624 = 2^{4} \times 3 \times 263 \]12624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 32736 |
| Euler totient φ(n) | 4192 |
| Square | 159365376 |
| Cube | 2011828506624 |
| Square root | 112.356575 (= 4√789) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.2624 × |
12624 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand six hundred and twenty-four |
| Binary (base 2) | 11000101010000 |
| Octal (base 8) | 30520 |
| Hexadecimal (base 16) | 3150 |
| Base 3 | 122022120 |
| As time | 12624 seconds = 3 h 30 min 24 s |
Is 12624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12624 ÷ 2 = 6312) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12624 ÷ 3 = 4208) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12624 ÷ 4 = 3156) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12624 ÷ 6 = 2104) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (12624 ÷ 8 = 1578) | 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 4) | 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 (12624 ÷ 12 = 1052) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12624 a prime number?
No. 12624 = × 3 × 263, so it is divisible by 2.
What are the factors of 12624?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312, 12624.
What is 12624 in binary?
11000101010000 (hexadecimal 3150, octal 30520).
What is the square root of 12624?
About 112.3566, exactly 4√789.
Is 12624 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12624?
It is a composite number with 20 divisors.