The number 67567
67567 is the 6732nd prime number. Its only divisors are 1 and 67567.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67567: the 6732nd prime number.
- 2
67567 is prime, so its only factors are 1 and 67567. It is the 6732nd prime; the next prime is 67577 and the one before is 67559.
- 3
The divisors add up to 67568; without 67567 itself that is 1, so 67567 is deficient (1 is less than 67567). Euler's totient φ(67567) = 67566 numbers up to 67567 share no factor with it.
- 4
The digits of 67567 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
67567 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67568 |
| Euler totient φ(n) | 67566 |
| Square | 4565299489 |
| Cube | 308463590573263 |
| Square root | 259.936531 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7567 × |
67567 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and sixty-seven |
| Binary (base 2) | 10000011111101111 |
| Octal (base 8) | 203757 |
| Hexadecimal (base 16) | 107EF |
| Base 3 | 10102200111 |
| As time | 67567 seconds = 18 h 46 min 7 s |
Is 67567 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 67567 a prime number?
Yes. 67567 is divisible only by 1 and itself.
What are the factors of 67567?
1, 67567.
What is 67567 in binary?
10000011111101111 (hexadecimal 107EF, octal 203757).
What is the square root of 67567?
About 259.9365.
Is 67567 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67567?
67567 is the 6732nd prime number.