The number 31607
31607 is the 3401st prime number. Its only divisors are 1 and 31607.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31607: the 3401st prime number.
- 2
31607 is prime, so its only factors are 1 and 31607. It is the 3401st prime; the next prime is 31627 and the one before is 31601.
- 3
The divisors add up to 31608; without 31607 itself that is 1, so 31607 is deficient (1 is less than 31607). Euler's totient φ(31607) = 31606 numbers up to 31607 share no factor with it.
- 4
The digits of 31607 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 191 steps to reach 1.
31607 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31608 |
| Euler totient φ(n) | 31606 |
| Square | 999002449 |
| Cube | 31575470405543 |
| Square root | 177.783576 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.1607 × |
31607 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and seven |
| Binary (base 2) | 111101101110111 |
| Octal (base 8) | 75567 |
| Hexadecimal (base 16) | 7B77 |
| Base 3 | 1121100122 |
| As time | 31607 seconds = 8 h 46 min 47 s |
Is 31607 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 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 8) | 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 4) | 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 31607 a prime number?
Yes. 31607 is divisible only by 1 and itself.
What are the factors of 31607?
1, 31607.
What is 31607 in binary?
111101101110111 (hexadecimal 7B77, octal 75567).
What is the square root of 31607?
About 177.7836.
Is 31607 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31607?
31607 is the 3401st prime number.