The number 13736
13736 is a composite number with 16 divisors. Its prime factorisation is × 17 × 101. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 101, 136, 202, 404, 808, 1717, 3434, 6868, 13736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13736 is composite. Its prime factorisation is
- 3
The divisors add up to 27540; without 13736 itself that is 13804, so 13736 is abundant (13804 is more than 13736). Euler's totient φ(13736) = 6400 numbers up to 13736 share no factor with it.
- 4
The digits of 13736 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13736 = 2^{3} \times 17 \times 101 \]13736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27540 |
| Euler totient φ(n) | 6400 |
| Square | 188677696 |
| Cube | 2591676832256 |
| Square root | 117.200683 (= 2√3434) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3736 × |
13736 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-six |
| Binary (base 2) | 11010110101000 |
| Octal (base 8) | 32650 |
| Hexadecimal (base 16) | 35A8 |
| Base 3 | 200211202 |
| As time | 13736 seconds = 3 h 48 min 56 s |
Is 13736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13736 ÷ 2 = 6868) | 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 (13736 ÷ 4 = 3434) | 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 2) | 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 | Yes (13736 ÷ 8 = 1717) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 13736 a prime number?
No. 13736 = × 17 × 101, so it is divisible by 2.
What are the factors of 13736?
1, 2, 4, 8, 17, 34, 68, 101, 136, 202, 404, 808, 1717, 3434, 6868, 13736.
What is 13736 in binary?
11010110101000 (hexadecimal 35A8, octal 32650).
What is the square root of 13736?
About 117.2007, exactly 2√3434.
Is 13736 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13736?
It is a composite number with 16 divisors.