The number 9629
9629 is a twin prime (9629 and 9631 are both prime) and the 1189th prime number. Its only divisors are 1 and 9629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9629: a twin prime (9629 and 9631 are both prime); the 1189th prime number.
- 2
9629 is prime, so its only factors are 1 and 9629. It is the 1189th prime; the next prime is 9631 and the one before is 9623.
- 3
The divisors add up to 9630; without 9629 itself that is 1, so 9629 is deficient (1 is less than 9629). Euler's totient φ(9629) = 9628 numbers up to 9629 share no factor with it.
- 4
The digits of 9629 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 73 steps to reach 1.
9629 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9630 |
| Euler totient φ(n) | 9628 |
| Square | 92717641 |
| Cube | 892778165189 |
| Square root | 98.127468 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.629 × |
9629 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and twenty-nine |
| Binary (base 2) | 10010110011101 |
| Octal (base 8) | 22635 |
| Hexadecimal (base 16) | 259D |
| Base 3 | 111012122 |
| As time | 9629 seconds = 2 h 40 min 29 s |
Is 9629 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 4) | 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 8) | 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 4) | 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 9629 a prime number?
Yes. 9629 is divisible only by 1 and itself.
What are the factors of 9629?
1, 9629.
What is 9629 in binary?
10010110011101 (hexadecimal 259D, octal 22635).
What is the square root of 9629?
About 98.1275.
Is 9629 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9629?
9629 is a twin prime (9629 and 9631 are both prime); the 1189th prime number.