The number 13708
13708 is a composite number with 12 divisors. Its prime factorisation is × 23 × 149. Divisors (12): 1, 2, 4, 23, 46, 92, 149, 298, 596, 3427, 6854, 13708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13708 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 13708 itself that is 11492, so 13708 is deficient (11492 is less than 13708). Euler's totient φ(13708) = 6512 numbers up to 13708 share no factor with it.
- 4
The digits of 13708 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13708 = 2^{2} \times 23 \times 149 \]13708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 6512 |
| Square | 187909264 |
| Cube | 2575860190912 |
| Square root | 117.081168 (= 2√3427) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3708 × |
13708 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and eight |
| Binary (base 2) | 11010110001100 |
| Octal (base 8) | 32614 |
| Hexadecimal (base 16) | 358C |
| Base 3 | 200210201 |
| As time | 13708 seconds = 3 h 48 min 28 s |
Is 13708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13708 ÷ 2 = 6854) | 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 (13708 ÷ 4 = 3427) | 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 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 | No (remainder 4) | 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 8) | 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 13708 a prime number?
No. 13708 = × 23 × 149, so it is divisible by 2.
What are the factors of 13708?
1, 2, 4, 23, 46, 92, 149, 298, 596, 3427, 6854, 13708.
What is 13708 in binary?
11010110001100 (hexadecimal 358C, octal 32614).
What is the square root of 13708?
About 117.0812, exactly 2√3427.
Is 13708 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13708?
It is a composite number with 12 divisors.