The number 67867
67867 is the 6760th prime number. Its only divisors are 1 and 67867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67867: the 6760th prime number.
- 2
67867 is prime, so its only factors are 1 and 67867. It is the 6760th prime; the next prime is 67883 and the one before is 67853.
- 3
The divisors add up to 67868; without 67867 itself that is 1, so 67867 is deficient (1 is less than 67867). Euler's totient φ(67867) = 67866 numbers up to 67867 share no factor with it.
- 4
The digits of 67867 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
67867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67868 |
| Euler totient φ(n) | 67866 |
| Square | 4605929689 |
| Cube | 312590630203363 |
| Square root | 260.512956 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7867 × |
67867 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and sixty-seven |
| Binary (base 2) | 10000100100011011 |
| Octal (base 8) | 204433 |
| Hexadecimal (base 16) | 1091B |
| Base 3 | 10110002121 |
| As time | 67867 seconds = 18 h 51 min 7 s |
Is 67867 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 1) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67867 a prime number?
Yes. 67867 is divisible only by 1 and itself.
What are the factors of 67867?
1, 67867.
What is 67867 in binary?
10000100100011011 (hexadecimal 1091B, octal 204433).
What is the square root of 67867?
About 260.5130.
Is 67867 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 67867?
67867 is the 6760th prime number.