The number 31319
31319 is a twin prime (31319 and 31321 are both prime) and the 3375th prime number. Its only divisors are 1 and 31319.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31319: a twin prime (31319 and 31321 are both prime); the 3375th prime number.
- 2
31319 is prime, so its only factors are 1 and 31319. It is the 3375th prime; the next prime is 31321 and the one before is 31307.
- 3
The divisors add up to 31320; without 31319 itself that is 1, so 31319 is deficient (1 is less than 31319). Euler's totient φ(31319) = 31318 numbers up to 31319 share no factor with it.
- 4
The digits of 31319 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 85 steps to reach 1.
31319 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31320 |
| Euler totient φ(n) | 31318 |
| Square | 980879761 |
| Cube | 30720173234759 |
| Square root | 176.971749 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1319 × |
31319 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and nineteen |
| Binary (base 2) | 111101001010111 |
| Octal (base 8) | 75127 |
| Hexadecimal (base 16) | 7A57 |
| Base 3 | 1120221222 |
| As time | 31319 seconds = 8 h 41 min 59 s |
Is 31319 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31319 a prime number?
Yes. 31319 is divisible only by 1 and itself.
What are the factors of 31319?
1, 31319.
What is 31319 in binary?
111101001010111 (hexadecimal 7A57, octal 75127).
What is the square root of 31319?
About 176.9717.
Is 31319 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31319?
31319 is a twin prime (31319 and 31321 are both prime); the 3375th prime number.