The number 31271
31271 is the 3372nd prime number. Its only divisors are 1 and 31271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31271: the 3372nd prime number.
- 2
31271 is prime, so its only factors are 1 and 31271. It is the 3372nd prime; the next prime is 31277 and the one before is 31267.
- 3
The divisors add up to 31272; without 31271 itself that is 1, so 31271 is deficient (1 is less than 31271). Euler's totient φ(31271) = 31270 numbers up to 31271 share no factor with it.
- 4
The digits of 31271 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
31271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31272 |
| Euler totient φ(n) | 31270 |
| Square | 977875441 |
| Cube | 30579142915511 |
| Square root | 176.836082 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.1271 × |
31271 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and seventy-one |
| Binary (base 2) | 111101000100111 |
| Octal (base 8) | 75047 |
| Hexadecimal (base 16) | 7A27 |
| Base 3 | 1120220012 |
| As time | 31271 seconds = 8 h 41 min 11 s |
Is 31271 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31271 a prime number?
Yes. 31271 is divisible only by 1 and itself.
What are the factors of 31271?
1, 31271.
What is 31271 in binary?
111101000100111 (hexadecimal 7A27, octal 75047).
What is the square root of 31271?
About 176.8361.
Is 31271 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31271?
31271 is the 3372nd prime number.