The number 31667
31667 is the 3407th prime number. Its only divisors are 1 and 31667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31667: the 3407th prime number.
- 2
31667 is prime, so its only factors are 1 and 31667. It is the 3407th prime; the next prime is 31687 and the one before is 31663.
- 3
The divisors add up to 31668; without 31667 itself that is 1, so 31667 is deficient (1 is less than 31667). Euler's totient φ(31667) = 31666 numbers up to 31667 share no factor with it.
- 4
The digits of 31667 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
31667 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31668 |
| Euler totient φ(n) | 31666 |
| Square | 1002798889 |
| Cube | 31755632417963 |
| Square root | 177.952241 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1667 × |
31667 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and sixty-seven |
| Binary (base 2) | 111101110110011 |
| Octal (base 8) | 75663 |
| Hexadecimal (base 16) | 7BB3 |
| Base 3 | 1121102212 |
| As time | 31667 seconds = 8 h 47 min 47 s |
Is 31667 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 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 6) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31667 a prime number?
Yes. 31667 is divisible only by 1 and itself.
What are the factors of 31667?
1, 31667.
What is 31667 in binary?
111101110110011 (hexadecimal 7BB3, octal 75663).
What is the square root of 31667?
About 177.9522.
Is 31667 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 31667?
31667 is the 3407th prime number.