The number 67493
67493 is the 6724th prime number. Its only divisors are 1 and 67493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67493: the 6724th prime number.
- 2
67493 is prime, so its only factors are 1 and 67493. It is the 6724th prime; the next prime is 67499 and the one before is 67489.
- 3
The divisors add up to 67494; without 67493 itself that is 1, so 67493 is deficient (1 is less than 67493). Euler's totient φ(67493) = 67492 numbers up to 67493 share no factor with it.
- 4
The digits of 67493 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
67493 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67494 |
| Euler totient φ(n) | 67492 |
| Square | 4555305049 |
| Cube | 307451203672157 |
| Square root | 259.794149 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7493 × |
67493 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and ninety-three |
| Binary (base 2) | 10000011110100101 |
| Octal (base 8) | 203645 |
| Hexadecimal (base 16) | 107A5 |
| Base 3 | 10102120202 |
| As time | 67493 seconds = 18 h 44 min 53 s |
Is 67493 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 6) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67493 a prime number?
Yes. 67493 is divisible only by 1 and itself.
What are the factors of 67493?
1, 67493.
What is 67493 in binary?
10000011110100101 (hexadecimal 107A5, octal 203645).
What is the square root of 67493?
About 259.7941.
Is 67493 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67493?
67493 is the 6724th prime number.