The number 67429
67429 is a twin prime (67427 and 67429 are both prime) and the 6717th prime number. Its only divisors are 1 and 67429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67429: a twin prime (67427 and 67429 are both prime); the 6717th prime number.
- 2
67429 is prime, so its only factors are 1 and 67429. It is the 6717th prime; the next prime is 67433 and the one before is 67427.
- 3
The divisors add up to 67430; without 67429 itself that is 1, so 67429 is deficient (1 is less than 67429). Euler's totient φ(67429) = 67428 numbers up to 67429 share no factor with it.
- 4
The digits of 67429 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 161 steps to reach 1.
67429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67430 |
| Euler totient φ(n) | 67428 |
| Square | 4546670041 |
| Cube | 306577414194589 |
| Square root | 259.670946 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7429 × |
67429 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty-nine |
| Binary (base 2) | 10000011101100101 |
| Octal (base 8) | 203545 |
| Hexadecimal (base 16) | 10765 |
| Base 3 | 10102111101 |
| As time | 67429 seconds = 18 h 43 min 49 s |
Is 67429 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 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 67429 a prime number?
Yes. 67429 is divisible only by 1 and itself.
What are the factors of 67429?
1, 67429.
What is 67429 in binary?
10000011101100101 (hexadecimal 10765, octal 203545).
What is the square root of 67429?
About 259.6709.
Is 67429 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67429?
67429 is a twin prime (67427 and 67429 are both prime); the 6717th prime number.