The number 67993
67993 is the 6774th prime number. Its only divisors are 1 and 67993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67993: the 6774th prime number.
- 2
67993 is prime, so its only factors are 1 and 67993. It is the 6774th prime; the next prime is 68023 and the one before is 67987.
- 3
The divisors add up to 67994; without 67993 itself that is 1, so 67993 is deficient (1 is less than 67993). Euler's totient φ(67993) = 67992 numbers up to 67993 share no factor with it.
- 4
The digits of 67993 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.
67993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67994 |
| Euler totient φ(n) | 67992 |
| Square | 4623048049 |
| Cube | 314334905995657 |
| Square root | 260.754674 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7993 × |
67993 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and ninety-three |
| Binary (base 2) | 10000100110011001 |
| Octal (base 8) | 204631 |
| Hexadecimal (base 16) | 10999 |
| Base 3 | 10110021021 |
| As time | 67993 seconds = 18 h 53 min 13 s |
Is 67993 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 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 67993 a prime number?
Yes. 67993 is divisible only by 1 and itself.
What are the factors of 67993?
1, 67993.
What is 67993 in binary?
10000100110011001 (hexadecimal 10999, octal 204631).
What is the square root of 67993?
About 260.7547.
Is 67993 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 67993?
67993 is the 6774th prime number.