The number 13508
13508 is a composite number with 12 divisors. Its prime factorisation is × 11 × 307. Divisors (12): 1, 2, 4, 11, 22, 44, 307, 614, 1228, 3377, 6754, 13508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13508 is composite. Its prime factorisation is
- 3
The divisors add up to 25872; without 13508 itself that is 12364, so 13508 is deficient (12364 is less than 13508). Euler's totient φ(13508) = 6120 numbers up to 13508 share no factor with it.
- 4
The digits of 13508 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13508 = 2^{2} \times 11 \times 307 \]13508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25872 |
| Euler totient φ(n) | 6120 |
| Square | 182466064 |
| Cube | 2464751592512 |
| Square root | 116.223922 (= 2√3377) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3508 × |
13508 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eight |
| Binary (base 2) | 11010011000100 |
| Octal (base 8) | 32304 |
| Hexadecimal (base 16) | 34C4 |
| Base 3 | 200112022 |
| As time | 13508 seconds = 3 h 45 min 8 s |
Is 13508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13508 ÷ 2 = 6754) | 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 (13508 ÷ 4 = 3377) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13508 ÷ 11 = 1228) | 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 13508 a prime number?
No. 13508 = × 11 × 307, so it is divisible by 2.
What are the factors of 13508?
1, 2, 4, 11, 22, 44, 307, 614, 1228, 3377, 6754, 13508.
What is 13508 in binary?
11010011000100 (hexadecimal 34C4, octal 32304).
What is the square root of 13508?
About 116.2239, exactly 2√3377.
Is 13508 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13508?
It is a composite number with 12 divisors.