The number 13727
13727 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 53. Divisors (8): 1, 7, 37, 53, 259, 371, 1961, 13727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13727 is composite. Its prime factorisation is
- 3
The divisors add up to 16416; without 13727 itself that is 2689, so 13727 is deficient (2689 is less than 13727). Euler's totient φ(13727) = 11232 numbers up to 13727 share no factor with it.
- 4
The digits of 13727 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13727 = 7 \times 37 \times 53 \]
13727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16416 |
| Euler totient φ(n) | 11232 |
| Square | 188430529 |
| Cube | 2586585871583 |
| Square root | 117.162281 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3727 × |
13727 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and twenty-seven |
| Binary (base 2) | 11010110011111 |
| Octal (base 8) | 32637 |
| Hexadecimal (base 16) | 359F |
| Base 3 | 200211102 |
| As time | 13727 seconds = 3 h 48 min 47 s |
Is 13727 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13727 ÷ 7 = 1961) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13727 a prime number?
No. 13727 = 7 × 37 × 53, so it is divisible by 7.
What are the factors of 13727?
1, 7, 37, 53, 259, 371, 1961, 13727.
What is 13727 in binary?
11010110011111 (hexadecimal 359F, octal 32637).
What is the square root of 13727?
About 117.1623.
Is 13727 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13727?
It is a composite number with 8 divisors.