The number 67967
67967 is the 6771st prime number. Its only divisors are 1 and 67967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67967: the 6771st prime number.
- 2
67967 is prime, so its only factors are 1 and 67967. It is the 6771st prime; the next prime is 67979 and the one before is 67961.
- 3
The divisors add up to 67968; without 67967 itself that is 1, so 67967 is deficient (1 is less than 67967). Euler's totient φ(67967) = 67966 numbers up to 67967 share no factor with it.
- 4
The digits of 67967 add up to 35, 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.
67967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67968 |
| Euler totient φ(n) | 67966 |
| Square | 4619513089 |
| Cube | 313974446120063 |
| Square root | 260.704814 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7967 × |
67967 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and sixty-seven |
| Binary (base 2) | 10000100101111111 |
| Octal (base 8) | 204577 |
| Hexadecimal (base 16) | 1097F |
| Base 3 | 10110020022 |
| As time | 67967 seconds = 18 h 52 min 47 s |
Is 67967 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 4) | 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 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 67967 a prime number?
Yes. 67967 is divisible only by 1 and itself.
What are the factors of 67967?
1, 67967.
What is 67967 in binary?
10000100101111111 (hexadecimal 1097F, octal 204577).
What is the square root of 67967?
About 260.7048.
Is 67967 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 67967?
67967 is the 6771st prime number.