The number 1329
1329 is a composite number with 4 divisors. Its prime factorisation is 3 × 443. Divisors (4): 1, 3, 443, 1329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1329: a semiprime: 3 × 443, the product of two primes.
- 2
1329 is composite. Its prime factorisation is
- 3
The divisors add up to 1776; without 1329 itself that is 447, so 1329 is deficient (447 is less than 1329). Euler's totient φ(1329) = 884 numbers up to 1329 share no factor with it.
- 4
The digits of 1329 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1329 = 3 \times 443 \]
1329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1776 |
| Euler totient φ(n) | 884 |
| Square | 1766241 |
| Cube | 2347334289 |
| Square root | 36.455452 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.329 × |
1329 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twenty-nine |
| Roman numerals | MCCCXXIX |
| Binary (base 2) | 10100110001 |
| Octal (base 8) | 2461 |
| Hexadecimal (base 16) | 531 |
| Base 3 | 1211020 |
| As time | 1329 seconds = 22 min 9 s |
Is 1329 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 | Yes (1329 ÷ 3 = 443) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1329 a prime number?
No. 1329 = 3 × 443, so it is divisible by 3.
What are the factors of 1329?
1, 3, 443, 1329.
What is 1329 in binary?
10100110001 (hexadecimal 531, octal 2461).
What is the square root of 1329?
About 36.4555.
What is 1329 in Roman numerals?
MCCCXXIX.
Is 1329 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1329?
1329 is a semiprime: 3 × 443, the product of two primes.