The number 33829
33829 is a twin prime (33827 and 33829 are both prime) and the 3624th prime number. Its only divisors are 1 and 33829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33829: a twin prime (33827 and 33829 are both prime); the 3624th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33829 is prime, so its only factors are 1 and 33829. It is the 3624th prime; the next prime is 33851 and the one before is 33827.
- 3
The divisors add up to 33830; without 33829 itself that is 1, so 33829 is deficient (1 is less than 33829). Euler's totient φ(33829) = 33828 numbers up to 33829 share no factor with it.
- 4
The digits of 33829 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 59 steps to reach 1.
33829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33830 |
| Euler totient φ(n) | 33828 |
| Square | 1144401241 |
| Cube | 38713949581789 |
| Square root | 183.926616 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3829 × |
33829 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and twenty-nine |
| Binary (base 2) | 1000010000100101 |
| Octal (base 8) | 102045 |
| Hexadecimal (base 16) | 8425 |
| Base 3 | 1201101221 |
| As time | 33829 seconds = 9 h 23 min 49 s |
Is 33829 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 4) | 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 33829 a prime number?
Yes. 33829 is divisible only by 1 and itself.
What are the factors of 33829?
1, 33829.
What is 33829 in binary?
1000010000100101 (hexadecimal 8425, octal 102045).
What is the square root of 33829?
About 183.9266.
Is 33829 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33829?
33829 is a twin prime (33827 and 33829 are both prime); the 3624th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.