The number 8429
8429 is a twin prime (8429 and 8431 are both prime) and the 1054th prime number. Its only divisors are 1 and 8429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8429: a twin prime (8429 and 8431 are both prime); the 1054th prime number.
- 2
8429 is prime, so its only factors are 1 and 8429. It is the 1054th prime; the next prime is 8431 and the one before is 8423.
- 3
The divisors add up to 8430; without 8429 itself that is 1, so 8429 is deficient (1 is less than 8429). Euler's totient φ(8429) = 8428 numbers up to 8429 share no factor with it.
- 4
The digits of 8429 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
8429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8430 |
| Euler totient φ(n) | 8428 |
| Square | 71048041 |
| Cube | 598863937589 |
| Square root | 91.809586 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.429 × |
8429 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and twenty-nine |
| Binary (base 2) | 10000011101101 |
| Octal (base 8) | 20355 |
| Hexadecimal (base 16) | 20ED |
| Base 3 | 102120012 |
| As time | 8429 seconds = 2 h 20 min 29 s |
Is 8429 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 4) | 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 1) | 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 5) | 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 3) | 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 8429 a prime number?
Yes. 8429 is divisible only by 1 and itself.
What are the factors of 8429?
1, 8429.
What is 8429 in binary?
10000011101101 (hexadecimal 20ED, octal 20355).
What is the square root of 8429?
About 91.8096.
Is 8429 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8429?
8429 is a twin prime (8429 and 8431 are both prime); the 1054th prime number.