The number 3329
3329 is a twin prime (3329 and 3331 are both prime) and the 469th prime number. Its only divisors are 1 and 3329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3329: a twin prime (3329 and 3331 are both prime); the 469th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3329 is prime, so its only factors are 1 and 3329. It is the 469th prime; the next prime is 3331 and the one before is 3323.
- 3
The divisors add up to 3330; without 3329 itself that is 1, so 3329 is deficient (1 is less than 3329). Euler's totient φ(3329) = 3328 numbers up to 3329 share no factor with it.
- 4
The digits of 3329 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
3329 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3330 |
| Euler totient φ(n) | 3328 |
| Square | 11082241 |
| Cube | 36892780289 |
| Square root | 57.697487 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.329 × |
3329 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty-nine |
| Roman numerals | MMMCCCXXIX |
| Binary (base 2) | 110100000001 |
| Octal (base 8) | 6401 |
| Hexadecimal (base 16) | D01 |
| Base 3 | 11120022 |
| As time | 3329 seconds = 55 min 29 s |
Is 3329 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 1) | 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 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 3329 a prime number?
Yes. 3329 is divisible only by 1 and itself.
What are the factors of 3329?
1, 3329.
What is 3329 in binary?
110100000001 (hexadecimal D01, octal 6401).
What is the square root of 3329?
About 57.6975.
What is 3329 in Roman numerals?
MMMCCCXXIX.
Is 3329 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3329?
3329 is a twin prime (3329 and 3331 are both prime); the 469th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.