The number 13108
13108 is a composite number with 12 divisors. Its prime factorisation is × 29 × 113. Divisors (12): 1, 2, 4, 29, 58, 113, 116, 226, 452, 3277, 6554, 13108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13108 is composite. Its prime factorisation is
- 3
The divisors add up to 23940; without 13108 itself that is 10832, so 13108 is deficient (10832 is less than 13108). Euler's totient φ(13108) = 6272 numbers up to 13108 share no factor with it.
- 4
The digits of 13108 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13108 = 2^{2} \times 29 \times 113 \]13108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23940 |
| Euler totient φ(n) | 6272 |
| Square | 171819664 |
| Cube | 2252212155712 |
| Square root | 114.490174 (= 2√3277) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3108 × |
13108 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and eight |
| Binary (base 2) | 11001100110100 |
| Octal (base 8) | 31464 |
| Hexadecimal (base 16) | 3334 |
| Base 3 | 122222111 |
| As time | 13108 seconds = 3 h 38 min 28 s |
Is 13108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13108 ÷ 2 = 6554) | 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 (13108 ÷ 4 = 3277) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 | No (remainder 7) | 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 13108 a prime number?
No. 13108 = × 29 × 113, so it is divisible by 2.
What are the factors of 13108?
1, 2, 4, 29, 58, 113, 116, 226, 452, 3277, 6554, 13108.
What is 13108 in binary?
11001100110100 (hexadecimal 3334, octal 31464).
What is the square root of 13108?
About 114.4902, exactly 2√3277.
Is 13108 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13108?
It is a composite number with 12 divisors.