The number 13696
13696 is a composite number with 16 divisors. Its prime factorisation is × 107. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 428, 856, 1712, 3424, 6848, 13696.
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How to work it out
- 1
13696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13696 is composite. Its prime factorisation is
- 3
The divisors add up to 27540; without 13696 itself that is 13844, so 13696 is abundant (13844 is more than 13696). Euler's totient φ(13696) = 6784 numbers up to 13696 share no factor with it.
- 4
The digits of 13696 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13696 = 2^{7} \times 107 \]13696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27540 |
| Euler totient φ(n) | 6784 |
| Square | 187580416 |
| Cube | 2569101377536 |
| Square root | 117.029911 (= 8√214) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3696 × |
13696 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and ninety-six |
| Binary (base 2) | 11010110000000 |
| Octal (base 8) | 32600 |
| Hexadecimal (base 16) | 3580 |
| Base 3 | 200210021 |
| As time | 13696 seconds = 3 h 48 min 16 s |
Is 13696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13696 ÷ 2 = 6848) | 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 (13696 ÷ 4 = 3424) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (13696 ÷ 8 = 1712) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13696 a prime number?
No. 13696 = × 107, so it is divisible by 2.
What are the factors of 13696?
1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 428, 856, 1712, 3424, 6848, 13696.
What is 13696 in binary?
11010110000000 (hexadecimal 3580, octal 32600).
What is the square root of 13696?
About 117.0299, exactly 8√214.
Is 13696 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13696?
It is a composite number with 16 divisors.