The number 67733
67733 is the 6745th prime number. Its only divisors are 1 and 67733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67733: the 6745th prime number.
- 2
67733 is prime, so its only factors are 1 and 67733. It is the 6745th prime; the next prime is 67741 and the one before is 67723.
- 3
The divisors add up to 67734; without 67733 itself that is 1, so 67733 is deficient (1 is less than 67733). Euler's totient φ(67733) = 67732 numbers up to 67733 share no factor with it.
- 4
The digits of 67733 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 205 steps to reach 1.
67733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67734 |
| Euler totient φ(n) | 67732 |
| Square | 4587759289 |
| Cube | 310742699921837 |
| Square root | 260.255644 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7733 × |
67733 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and thirty-three |
| Binary (base 2) | 10000100010010101 |
| Octal (base 8) | 204225 |
| Hexadecimal (base 16) | 10895 |
| Base 3 | 10102220122 |
| As time | 67733 seconds = 18 h 48 min 53 s |
Is 67733 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67733 a prime number?
Yes. 67733 is divisible only by 1 and itself.
What are the factors of 67733?
1, 67733.
What is 67733 in binary?
10000100010010101 (hexadecimal 10895, octal 204225).
What is the square root of 67733?
About 260.2556.
Is 67733 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67733?
67733 is the 6745th prime number.