The number 13737
13737 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 241. Divisors (8): 1, 3, 19, 57, 241, 723, 4579, 13737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13737 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13737 is composite. Its prime factorisation is
- 3
The divisors add up to 19360; without 13737 itself that is 5623, so 13737 is deficient (5623 is less than 13737). Euler's totient φ(13737) = 8640 numbers up to 13737 share no factor with it.
- 4
The digits of 13737 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13737 = 3 \times 19 \times 241 \]
13737 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19360 |
| Euler totient φ(n) | 8640 |
| Square | 188705169 |
| Cube | 2592242906553 |
| Square root | 117.204949 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3737 × |
13737 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-seven |
| Binary (base 2) | 11010110101001 |
| Octal (base 8) | 32651 |
| Hexadecimal (base 16) | 35A9 |
| Base 3 | 200211210 |
| As time | 13737 seconds = 3 h 48 min 57 s |
Is 13737 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 | Yes (13737 ÷ 3 = 4579) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13737 a prime number?
No. 13737 = 3 × 19 × 241, so it is divisible by 3.
What are the factors of 13737?
1, 3, 19, 57, 241, 723, 4579, 13737.
What is 13737 in binary?
11010110101001 (hexadecimal 35A9, octal 32651).
What is the square root of 13737?
About 117.2049.
Is 13737 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13737?
It is a composite number with 8 divisors.