The number 13237
13237 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 61. Divisors (8): 1, 7, 31, 61, 217, 427, 1891, 13237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13237 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13237 is composite. Its prime factorisation is
- 3
The divisors add up to 15872; without 13237 itself that is 2635, so 13237 is deficient (2635 is less than 13237). Euler's totient φ(13237) = 10800 numbers up to 13237 share no factor with it.
- 4
The digits of 13237 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13237 = 7 \times 31 \times 61 \]
13237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15872 |
| Euler totient φ(n) | 10800 |
| Square | 175218169 |
| Cube | 2319362903053 |
| Square root | 115.052162 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3237 × |
13237 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and thirty-seven |
| Binary (base 2) | 11001110110101 |
| Octal (base 8) | 31665 |
| Hexadecimal (base 16) | 33B5 |
| Base 3 | 200011021 |
| As time | 13237 seconds = 3 h 40 min 37 s |
Is 13237 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13237 ÷ 7 = 1891) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13237 a prime number?
No. 13237 = 7 × 31 × 61, so it is divisible by 7.
What are the factors of 13237?
1, 7, 31, 61, 217, 427, 1891, 13237.
What is 13237 in binary?
11001110110101 (hexadecimal 33B5, octal 31665).
What is the square root of 13237?
About 115.0522.
Is 13237 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13237?
It is a composite number with 8 divisors.