The number 33329
33329 is a twin prime (33329 and 33331 are both prime) and the 3568th prime number. Its only divisors are 1 and 33329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33329: a twin prime (33329 and 33331 are both prime); the 3568th prime number.
- 2
33329 is prime, so its only factors are 1 and 33329. It is the 3568th prime; the next prime is 33331 and the one before is 33317.
- 3
The divisors add up to 33330; without 33329 itself that is 1, so 33329 is deficient (1 is less than 33329). Euler's totient φ(33329) = 33328 numbers up to 33329 share no factor with it.
- 4
The digits of 33329 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
33329 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33330 |
| Euler totient φ(n) | 33328 |
| Square | 1110822241 |
| Cube | 37022594470289 |
| Square root | 182.562318 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3329 × |
33329 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and twenty-nine |
| Binary (base 2) | 1000001000110001 |
| Octal (base 8) | 101061 |
| Hexadecimal (base 16) | 8231 |
| Base 3 | 1200201102 |
| As time | 33329 seconds = 9 h 15 min 29 s |
Is 33329 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 2) | 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 10) | 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 33329 a prime number?
Yes. 33329 is divisible only by 1 and itself.
What are the factors of 33329?
1, 33329.
What is 33329 in binary?
1000001000110001 (hexadecimal 8231, octal 101061).
What is the square root of 33329?
About 182.5623.
Is 33329 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33329?
33329 is a twin prime (33329 and 33331 are both prime); the 3568th prime number.