The number 31267
31267 is the 3371st prime number. Its only divisors are 1 and 31267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31267: the 3371st prime number.
- 2
31267 is prime, so its only factors are 1 and 31267. It is the 3371st prime; the next prime is 31271 and the one before is 31259.
- 3
The divisors add up to 31268; without 31267 itself that is 1, so 31267 is deficient (1 is less than 31267). Euler's totient φ(31267) = 31266 numbers up to 31267 share no factor with it.
- 4
The digits of 31267 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
31267 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31268 |
| Euler totient φ(n) | 31266 |
| Square | 977625289 |
| Cube | 30567409911163 |
| Square root | 176.824772 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1267 × |
31267 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and sixty-seven |
| Binary (base 2) | 111101000100011 |
| Octal (base 8) | 75043 |
| Hexadecimal (base 16) | 7A23 |
| Base 3 | 1120220001 |
| As time | 31267 seconds = 8 h 41 min 7 s |
Is 31267 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31267 a prime number?
Yes. 31267 is divisible only by 1 and itself.
What are the factors of 31267?
1, 31267.
What is 31267 in binary?
111101000100011 (hexadecimal 7A23, octal 75043).
What is the square root of 31267?
About 176.8248.
Is 31267 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31267?
31267 is the 3371st prime number.