The number 13137
13137 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 151. Divisors (8): 1, 3, 29, 87, 151, 453, 4379, 13137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13137 is composite. Its prime factorisation is
- 3
The divisors add up to 18240; without 13137 itself that is 5103, so 13137 is deficient (5103 is less than 13137). Euler's totient φ(13137) = 8400 numbers up to 13137 share no factor with it.
- 4
The digits of 13137 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13137 = 3 \times 29 \times 151 \]
13137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18240 |
| Euler totient φ(n) | 8400 |
| Square | 172580769 |
| Cube | 2267193562353 |
| Square root | 114.616753 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 213 |
| Scientific notation | 1.3137 × |
13137 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty-seven |
| Binary (base 2) | 11001101010001 |
| Octal (base 8) | 31521 |
| Hexadecimal (base 16) | 3351 |
| Base 3 | 200000120 |
| As time | 13137 seconds = 3 h 38 min 57 s |
Is 13137 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 (13137 ÷ 3 = 4379) | 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 5) | 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 6) | 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 3) | 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 13137 a prime number?
No. 13137 = 3 × 29 × 151, so it is divisible by 3.
What are the factors of 13137?
1, 3, 29, 87, 151, 453, 4379, 13137.
What is 13137 in binary?
11001101010001 (hexadecimal 3351, octal 31521).
What is the square root of 13137?
About 114.6168.
Is 13137 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13137?
It is a composite number with 8 divisors.