The number 13908
13908 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 61. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 61, 76, 114, 122, 183, 228, 244 … 13908.
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How to work it out
- 1
13908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13908 is composite. Its prime factorisation is
- 3
The divisors add up to 34720; without 13908 itself that is 20812, so 13908 is abundant (20812 is more than 13908). Euler's totient φ(13908) = 4320 numbers up to 13908 share no factor with it.
- 4
The digits of 13908 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13908 = 2^{2} \times 3 \times 19 \times 61 \]13908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34720 |
| Euler totient φ(n) | 4320 |
| Square | 193432464 |
| Cube | 2690258709312 |
| Square root | 117.932184 (= 2√3477) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3908 × |
13908 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and eight |
| Binary (base 2) | 11011001010100 |
| Octal (base 8) | 33124 |
| Hexadecimal (base 16) | 3654 |
| Base 3 | 201002010 |
| As time | 13908 seconds = 3 h 51 min 48 s |
Is 13908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13908 ÷ 2 = 6954) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13908 ÷ 3 = 4636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13908 ÷ 4 = 3477) | 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 | Yes (13908 ÷ 6 = 2318) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13908 ÷ 12 = 1159) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13908 a prime number?
No. 13908 = × 3 × 19 × 61, so it is divisible by 2.
What are the factors of 13908?
1, 2, 3, 4, 6, 12, 19, 38, 57, 61, 76, 114, 122, 183, 228, 244, 366, 732, 1159, 2318, 3477, 4636, 6954, 13908.
What is 13908 in binary?
11011001010100 (hexadecimal 3654, octal 33124).
What is the square root of 13908?
About 117.9322, exactly 2√3477.
Is 13908 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13908?
It is a composite number with 24 divisors.