The number 8629
8629 is a twin prime (8627 and 8629 are both prime) and the 1075th prime number. Its only divisors are 1 and 8629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8629: a twin prime (8627 and 8629 are both prime); the 1075th prime number.
- 2
8629 is prime, so its only factors are 1 and 8629. It is the 1075th prime; the next prime is 8641 and the one before is 8627.
- 3
The divisors add up to 8630; without 8629 itself that is 1, so 8629 is deficient (1 is less than 8629). Euler's totient φ(8629) = 8628 numbers up to 8629 share no factor with it.
- 4
The digits of 8629 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
8629 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8630 |
| Euler totient φ(n) | 8628 |
| Square | 74459641 |
| Cube | 642512242189 |
| Square root | 92.892411 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.629 × |
8629 in other forms
| Form | Value |
|---|---|
| In words | eight thousand six hundred and twenty-nine |
| Binary (base 2) | 10000110110101 |
| Octal (base 8) | 20665 |
| Hexadecimal (base 16) | 21B5 |
| Base 3 | 102211121 |
| As time | 8629 seconds = 2 h 23 min 49 s |
Is 8629 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 7) | 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 5) | 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 8629 a prime number?
Yes. 8629 is divisible only by 1 and itself.
What are the factors of 8629?
1, 8629.
What is 8629 in binary?
10000110110101 (hexadecimal 21B5, octal 20665).
What is the square root of 8629?
About 92.8924.
Is 8629 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8629?
8629 is a twin prime (8627 and 8629 are both prime); the 1075th prime number.