The number 31337
31337 is the 3379th prime number. Its only divisors are 1 and 31337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31337: the 3379th prime number.
- 2
31337 is prime, so its only factors are 1 and 31337. It is the 3379th prime; the next prime is 31357 and the one before is 31333.
- 3
The divisors add up to 31338; without 31337 itself that is 1, so 31337 is deficient (1 is less than 31337). Euler's totient φ(31337) = 31336 numbers up to 31337 share no factor with it.
- 4
The digits of 31337 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 59 steps to reach 1.
31337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31338 |
| Euler totient φ(n) | 31336 |
| Square | 982007569 |
| Cube | 30773171189753 |
| Square root | 177.022597 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.1337 × |
31337 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty-seven |
| Binary (base 2) | 111101001101001 |
| Octal (base 8) | 75151 |
| Hexadecimal (base 16) | 7A69 |
| Base 3 | 1120222122 |
| As time | 31337 seconds = 8 h 42 min 17 s |
Is 31337 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 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 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 9) | 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 31337 a prime number?
Yes. 31337 is divisible only by 1 and itself.
What are the factors of 31337?
1, 31337.
What is 31337 in binary?
111101001101001 (hexadecimal 7A69, octal 75151).
What is the square root of 31337?
About 177.0226.
Is 31337 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31337?
31337 is the 3379th prime number.