The number 67933
67933 is a twin prime (67931 and 67933 are both prime) and the 6766th prime number. Its only divisors are 1 and 67933.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67933: a twin prime (67931 and 67933 are both prime); the 6766th prime number.
- 2
67933 is prime, so its only factors are 1 and 67933. It is the 6766th prime; the next prime is 67939 and the one before is 67931.
- 3
The divisors add up to 67934; without 67933 itself that is 1, so 67933 is deficient (1 is less than 67933). Euler's totient φ(67933) = 67932 numbers up to 67933 share no factor with it.
- 4
The digits of 67933 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
67933 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67934 |
| Euler totient φ(n) | 67932 |
| Square | 4614892489 |
| Cube | 313503491455237 |
| Square root | 260.639598 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7933 × |
67933 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and thirty-three |
| Binary (base 2) | 10000100101011101 |
| Octal (base 8) | 204535 |
| Hexadecimal (base 16) | 1095D |
| Base 3 | 10110012001 |
| As time | 67933 seconds = 18 h 52 min 13 s |
Is 67933 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67933 a prime number?
Yes. 67933 is divisible only by 1 and itself.
What are the factors of 67933?
1, 67933.
What is 67933 in binary?
10000100101011101 (hexadecimal 1095D, octal 204535).
What is the square root of 67933?
About 260.6396.
Is 67933 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67933?
67933 is a twin prime (67931 and 67933 are both prime); the 6766th prime number.