The number 67329
67329 is a composite number with 6 divisors. Its prime factorisation is × 7481. Divisors (6): 1, 3, 9, 7481, 22443, 67329.
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How to work it out
- 1
67329 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67329 is composite. Its prime factorisation is
- 3
The divisors add up to 97266; without 67329 itself that is 29937, so 67329 is deficient (29937 is less than 67329). Euler's totient φ(67329) = 44880 numbers up to 67329 share no factor with it.
- 4
The digits of 67329 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67329 = 3^{2} \times 7481 \]67329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97266 |
| Euler totient φ(n) | 44880 |
| Square | 4533194241 |
| Cube | 305215435052289 |
| Square root | 259.478323 (= 3√7481) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7329 × |
67329 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and twenty-nine |
| Binary (base 2) | 10000011100000001 |
| Octal (base 8) | 203401 |
| Hexadecimal (base 16) | 10701 |
| Base 3 | 10102100200 |
| As time | 67329 seconds = 18 h 42 min 9 s |
Is 67329 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 (67329 ÷ 3 = 22443) | 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 3) | 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 | Yes (67329 ÷ 9 = 7481) | 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 67329 a prime number?
No. 67329 = × 7481, so it is divisible by 3.
What are the factors of 67329?
1, 3, 9, 7481, 22443, 67329.
What is 67329 in binary?
10000011100000001 (hexadecimal 10701, octal 203401).
What is the square root of 67329?
About 259.4783, exactly 3√7481.
Is 67329 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67329?
It is a composite number with 6 divisors.