The number 9929
9929 is a twin prime (9929 and 9931 are both prime) and the 1224th prime number. Its only divisors are 1 and 9929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9929: a twin prime (9929 and 9931 are both prime); the 1224th prime number.
- 2
9929 is prime, so its only factors are 1 and 9929. It is the 1224th prime; the next prime is 9931 and the one before is 9923.
- 3
The divisors add up to 9930; without 9929 itself that is 1, so 9929 is deficient (1 is less than 9929). Euler's totient φ(9929) = 9928 numbers up to 9929 share no factor with it.
- 4
The digits of 9929 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
9929 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9930 |
| Euler totient φ(n) | 9928 |
| Square | 98585041 |
| Cube | 978850872089 |
| Square root | 99.644368 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.929 × |
9929 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and twenty-nine |
| Binary (base 2) | 10011011001001 |
| Octal (base 8) | 23311 |
| Hexadecimal (base 16) | 26C9 |
| Base 3 | 111121202 |
| As time | 9929 seconds = 2 h 45 min 29 s |
Is 9929 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 9929 a prime number?
Yes. 9929 is divisible only by 1 and itself.
What are the factors of 9929?
1, 9929.
What is 9929 in binary?
10011011001001 (hexadecimal 26C9, octal 23311).
What is the square root of 9929?
About 99.6444.
Is 9929 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9929?
9929 is a twin prime (9929 and 9931 are both prime); the 1224th prime number.