The number 9829
9829 is the 1212th prime number. Its only divisors are 1 and 9829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9829: the 1212th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9829 is prime, so its only factors are 1 and 9829. It is the 1212th prime; the next prime is 9833 and the one before is 9817.
- 3
The divisors add up to 9830; without 9829 itself that is 1, so 9829 is deficient (1 is less than 9829). Euler's totient φ(9829) = 9828 numbers up to 9829 share no factor with it.
- 4
The digits of 9829 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 135 steps to reach 1.
9829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9830 |
| Euler totient φ(n) | 9828 |
| Square | 96609241 |
| Cube | 949572229789 |
| Square root | 99.141313 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.829 × |
9829 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and twenty-nine |
| Binary (base 2) | 10011001100101 |
| Octal (base 8) | 23145 |
| Hexadecimal (base 16) | 2665 |
| Base 3 | 111111001 |
| As time | 9829 seconds = 2 h 43 min 49 s |
Is 9829 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 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 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 6) | 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 9829 a prime number?
Yes. 9829 is divisible only by 1 and itself.
What are the factors of 9829?
1, 9829.
What is 9829 in binary?
10011001100101 (hexadecimal 2665, octal 23145).
What is the square root of 9829?
About 99.1413.
Is 9829 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9829?
9829 is the 1212th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.