The number 13312
13312 is a composite number with 22 divisors. Its prime factorisation is × 13. Divisors (22): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512 … 13312.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13312 is composite. Its prime factorisation is
- 3
The divisors add up to 28658; without 13312 itself that is 15346, so 13312 is abundant (15346 is more than 13312). Euler's totient φ(13312) = 6144 numbers up to 13312 share no factor with it.
- 4
The digits of 13312 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13312 = 2^{10} \times 13 \]13312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 28658 |
| Euler totient φ(n) | 6144 |
| Square | 177209344 |
| Cube | 2359010787328 |
| Square root | 115.377641 (= 32√13) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 19 |
| Scientific notation | 1.3312 × |
13312 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twelve |
| Binary (base 2) | 11010000000000 |
| Octal (base 8) | 32000 |
| Hexadecimal (base 16) | 3400 |
| Base 3 | 200021001 |
| As time | 13312 seconds = 3 h 41 min 52 s |
Is 13312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13312 ÷ 2 = 6656) | 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 (13312 ÷ 4 = 3328) | 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 4) | 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 (13312 ÷ 8 = 1664) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 13312 a prime number?
No. 13312 = × 13, so it is divisible by 2.
What are the factors of 13312?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 3328, 6656, 13312.
What is 13312 in binary?
11010000000000 (hexadecimal 3400, octal 32000).
What is the square root of 13312?
About 115.3776, exactly 32√13.
Is 13312 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13312?
It is a composite number with 22 divisors.