The number 67427
67427 is a twin prime (67427 and 67429 are both prime) and the 6716th prime number. Its only divisors are 1 and 67427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67427: a twin prime (67427 and 67429 are both prime); the 6716th prime number.
- 2
67427 is prime, so its only factors are 1 and 67427. It is the 6716th prime; the next prime is 67429 and the one before is 67421.
- 3
The divisors add up to 67428; without 67427 itself that is 1, so 67427 is deficient (1 is less than 67427). Euler's totient φ(67427) = 67426 numbers up to 67427 share no factor with it.
- 4
The digits of 67427 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 161 steps to reach 1.
67427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67428 |
| Euler totient φ(n) | 67426 |
| Square | 4546400329 |
| Cube | 306550134983483 |
| Square root | 259.667095 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7427 × |
67427 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty-seven |
| Binary (base 2) | 10000011101100011 |
| Octal (base 8) | 203543 |
| Hexadecimal (base 16) | 10763 |
| Base 3 | 10102111022 |
| As time | 67427 seconds = 18 h 43 min 47 s |
Is 67427 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 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 5) | 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 3) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67427 a prime number?
Yes. 67427 is divisible only by 1 and itself.
What are the factors of 67427?
1, 67427.
What is 67427 in binary?
10000011101100011 (hexadecimal 10763, octal 203543).
What is the square root of 67427?
About 259.6671.
Is 67427 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67427?
67427 is a twin prime (67427 and 67429 are both prime); the 6716th prime number.