The number 67931
67931 is a twin prime (67931 and 67933 are both prime) and the 6765th prime number. Its only divisors are 1 and 67931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67931: a twin prime (67931 and 67933 are both prime); the 6765th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67931 is prime, so its only factors are 1 and 67931. It is the 6765th prime; the next prime is 67933 and the one before is 67927.
- 3
The divisors add up to 67932; without 67931 itself that is 1, so 67931 is deficient (1 is less than 67931). Euler's totient φ(67931) = 67930 numbers up to 67931 share no factor with it.
- 4
The digits of 67931 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
67931 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67932 |
| Euler totient φ(n) | 67930 |
| Square | 4614620761 |
| Cube | 313475802915491 |
| Square root | 260.635761 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7931 × |
67931 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and thirty-one |
| Binary (base 2) | 10000100101011011 |
| Octal (base 8) | 204533 |
| Hexadecimal (base 16) | 1095B |
| Base 3 | 10110011222 |
| As time | 67931 seconds = 18 h 52 min 11 s |
Is 67931 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 3) | 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 8) | 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 6) | 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 67931 a prime number?
Yes. 67931 is divisible only by 1 and itself.
What are the factors of 67931?
1, 67931.
What is 67931 in binary?
10000100101011011 (hexadecimal 1095B, octal 204533).
What is the square root of 67931?
About 260.6358.
Is 67931 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67931?
67931 is a twin prime (67931 and 67933 are both prime); the 6765th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.