The number 76329
76329 is a composite number with 16 divisors. Its prime factorisation is × 11 × 257. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 257, 297, 771, 2313, 2827, 6939, 8481, 25443, 76329.
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How to work it out
- 1
What is special about 76329: a Harshad number: divisible by its digit sum 27.
- 2
76329 is composite. Its prime factorisation is
- 3
The divisors add up to 123840; without 76329 itself that is 47511, so 76329 is deficient (47511 is less than 76329). Euler's totient φ(76329) = 46080 numbers up to 76329 share no factor with it.
- 4
The digits of 76329 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76329 = 3^{3} \times 11 \times 257 \]76329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123840 |
| Euler totient φ(n) | 46080 |
| Square | 5826116241 |
| Cube | 444701626559289 |
| Square root | 276.277035 (= 3√8481) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6329 × |
76329 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and twenty-nine |
| Binary (base 2) | 10010101000101001 |
| Octal (base 8) | 225051 |
| Hexadecimal (base 16) | 12A29 |
| Base 3 | 10212201000 |
| As time | 76329 seconds = 21 h 12 min 9 s |
Is 76329 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 (76329 ÷ 3 = 25443) | 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 1) | 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 (76329 ÷ 9 = 8481) | 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 | Yes (76329 ÷ 11 = 6939) | 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 76329 a prime number?
No. 76329 = × 11 × 257, so it is divisible by 3.
What are the factors of 76329?
1, 3, 9, 11, 27, 33, 99, 257, 297, 771, 2313, 2827, 6939, 8481, 25443, 76329.
What is 76329 in binary?
10010101000101001 (hexadecimal 12A29, octal 225051).
What is the square root of 76329?
About 276.2770, exactly 3√8481.
Is 76329 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76329?
76329 is a Harshad number: divisible by its digit sum 27.