The number 12512
12512 is a composite number with 24 divisors. Its prime factorisation is × 17 × 23. Divisors (24): 1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 68, 92, 136, 184, 272, 368 … 12512.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12512 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12512 is composite. Its prime factorisation is
- 3
The divisors add up to 27216; without 12512 itself that is 14704, so 12512 is abundant (14704 is more than 12512). Euler's totient φ(12512) = 5632 numbers up to 12512 share no factor with it.
- 4
The digits of 12512 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12512 = 2^{5} \times 17 \times 23 \]12512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 27216 |
| Euler totient φ(n) | 5632 |
| Square | 156550144 |
| Cube | 1958755401728 |
| Square root | 111.857052 (= 4√782) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2512 × |
12512 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and twelve |
| Binary (base 2) | 11000011100000 |
| Octal (base 8) | 30340 |
| Hexadecimal (base 16) | 30E0 |
| Base 3 | 122011102 |
| As time | 12512 seconds = 3 h 28 min 32 s |
Is 12512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12512 ÷ 2 = 6256) | 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 (12512 ÷ 4 = 3128) | 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 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 (12512 ÷ 8 = 1564) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 12512 a prime number?
No. 12512 = × 17 × 23, so it is divisible by 2.
What are the factors of 12512?
1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 68, 92, 136, 184, 272, 368, 391, 544, 736, 782, 1564, 3128, 6256, 12512.
What is 12512 in binary?
11000011100000 (hexadecimal 30E0, octal 30340).
What is the square root of 12512?
About 111.8571, exactly 4√782.
Is 12512 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12512?
It is a composite number with 24 divisors.