The number 31907
31907 is the 3427th prime number. Its only divisors are 1 and 31907.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31907: the 3427th prime number.
- 2
31907 is prime, so its only factors are 1 and 31907. It is the 3427th prime; the next prime is 31957 and the one before is 31891.
- 3
The divisors add up to 31908; without 31907 itself that is 1, so 31907 is deficient (1 is less than 31907). Euler's totient φ(31907) = 31906 numbers up to 31907 share no factor with it.
- 4
The digits of 31907 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
31907 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31908 |
| Euler totient φ(n) | 31906 |
| Square | 1018056649 |
| Cube | 32483133499643 |
| Square root | 178.625306 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1907 × |
31907 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and seven |
| Binary (base 2) | 111110010100011 |
| Octal (base 8) | 76243 |
| Hexadecimal (base 16) | 7CA3 |
| Base 3 | 1121202202 |
| As time | 31907 seconds = 8 h 51 min 47 s |
Is 31907 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 31907 a prime number?
Yes. 31907 is divisible only by 1 and itself.
What are the factors of 31907?
1, 31907.
What is 31907 in binary?
111110010100011 (hexadecimal 7CA3, octal 76243).
What is the square root of 31907?
About 178.6253.
Is 31907 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31907?
31907 is the 3427th prime number.