The number 13337
13337 is a twin prime (13337 and 13339 are both prime) and the 1584th prime number. Its only divisors are 1 and 13337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13337: a twin prime (13337 and 13339 are both prime); the 1584th prime number.
- 2
13337 is prime, so its only factors are 1 and 13337. It is the 1584th prime; the next prime is 13339 and the one before is 13331.
- 3
The divisors add up to 13338; without 13337 itself that is 1, so 13337 is deficient (1 is less than 13337). Euler's totient φ(13337) = 13336 numbers up to 13337 share no factor with it.
- 4
The digits of 13337 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
13337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13338 |
| Euler totient φ(n) | 13336 |
| Square | 177875569 |
| Cube | 2372326463753 |
| Square root | 115.485930 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3337 × |
13337 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-seven |
| Binary (base 2) | 11010000011001 |
| Octal (base 8) | 32031 |
| Hexadecimal (base 16) | 3419 |
| Base 3 | 200021222 |
| As time | 13337 seconds = 3 h 42 min 17 s |
Is 13337 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 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 5) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13337 a prime number?
Yes. 13337 is divisible only by 1 and itself.
What are the factors of 13337?
1, 13337.
What is 13337 in binary?
11010000011001 (hexadecimal 3419, octal 32031).
What is the square root of 13337?
About 115.4859.
Is 13337 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13337?
13337 is a twin prime (13337 and 13339 are both prime); the 1584th prime number.