The number 329
329 is a composite number with 4 divisors. Its prime factorisation is 7 × 47. Divisors (4): 1, 7, 47, 329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 329: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 47, the product of two primes.
- 2
329 is composite. Its prime factorisation is
- 3
The divisors add up to 384; without 329 itself that is 55, so 329 is deficient (55 is less than 329). Euler's totient φ(329) = 276 numbers up to 329 share no factor with it.
- 4
The digits of 329 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 329 = 7 \times 47 \]
329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 384 |
| Euler totient φ(n) | 276 |
| Square | 108241 |
| Cube | 35611289 |
| Square root | 18.138357 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 3.29 × |
329 in other forms
| Form | Value |
|---|---|
| In words | three hundred and twenty-nine |
| Roman numerals | CCCXXIX |
| Binary (base 2) | 101001001 |
| Octal (base 8) | 511 |
| Hexadecimal (base 16) | 149 |
| Base 3 | 110012 |
| As time | 329 seconds = 5 min 29 s |
Is 329 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 | Yes (329 ÷ 7 = 47) | 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 5) | 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 329 a prime number?
No. 329 = 7 × 47, so it is divisible by 7.
What are the factors of 329?
1, 7, 47, 329.
What is 329 in binary?
101001001 (hexadecimal 149, octal 511).
What is the square root of 329?
About 18.1384.
What is 329 in Roman numerals?
CCCXXIX.
Is 329 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 329?
329 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 47, the product of two primes.