The number 13512
13512 is a composite number with 16 divisors. Its prime factorisation is × 3 × 563. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 563, 1126, 1689, 2252, 3378, 4504, 6756, 13512.
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How to work it out
- 1
What is special about 13512: a Harshad number: divisible by its digit sum 12.
- 2
13512 is composite. Its prime factorisation is
- 3
The divisors add up to 33840; without 13512 itself that is 20328, so 13512 is abundant (20328 is more than 13512). Euler's totient φ(13512) = 4496 numbers up to 13512 share no factor with it.
- 4
The digits of 13512 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13512 = 2^{3} \times 3 \times 563 \]13512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33840 |
| Euler totient φ(n) | 4496 |
| Square | 182574144 |
| Cube | 2466941833728 |
| Square root | 116.241129 (= 2√3378) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3512 × |
13512 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and twelve |
| Binary (base 2) | 11010011001000 |
| Octal (base 8) | 32310 |
| Hexadecimal (base 16) | 34C8 |
| Base 3 | 200112110 |
| As time | 13512 seconds = 3 h 45 min 12 s |
Is 13512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13512 ÷ 2 = 6756) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13512 ÷ 3 = 4504) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13512 ÷ 4 = 3378) | 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 (13512 ÷ 6 = 2252) | 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 (13512 ÷ 8 = 1689) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13512 ÷ 12 = 1126) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13512 a prime number?
No. 13512 = × 3 × 563, so it is divisible by 2.
What are the factors of 13512?
1, 2, 3, 4, 6, 8, 12, 24, 563, 1126, 1689, 2252, 3378, 4504, 6756, 13512.
What is 13512 in binary?
11010011001000 (hexadecimal 34C8, octal 32310).
What is the square root of 13512?
About 116.2411, exactly 2√3378.
Is 13512 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13512?
13512 is a Harshad number: divisible by its digit sum 12.