The number 31327
31327 is the 3377th prime number. Its only divisors are 1 and 31327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31327: the 3377th prime number.
- 2
31327 is prime, so its only factors are 1 and 31327. It is the 3377th prime; the next prime is 31333 and the one before is 31321.
- 3
The divisors add up to 31328; without 31327 itself that is 1, so 31327 is deficient (1 is less than 31327). Euler's totient φ(31327) = 31326 numbers up to 31327 share no factor with it.
- 4
The digits of 31327 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 178 steps to reach 1.
31327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31328 |
| Euler totient φ(n) | 31326 |
| Square | 981380929 |
| Cube | 30743720362783 |
| Square root | 176.994350 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1327 × |
31327 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and twenty-seven |
| Binary (base 2) | 111101001011111 |
| Octal (base 8) | 75137 |
| Hexadecimal (base 16) | 7A5F |
| Base 3 | 1120222021 |
| As time | 31327 seconds = 8 h 42 min 7 s |
Is 31327 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 3) | 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 | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31327 a prime number?
Yes. 31327 is divisible only by 1 and itself.
What are the factors of 31327?
1, 31327.
What is 31327 in binary?
111101001011111 (hexadecimal 7A5F, octal 75137).
What is the square root of 31327?
About 176.9944.
Is 31327 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31327?
31327 is the 3377th prime number.