The number 28329
28329 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 71. Divisors (16): 1, 3, 7, 19, 21, 57, 71, 133, 213, 399, 497, 1349, 1491, 4047, 9443, 28329.
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How to work it out
- 1
28329 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28329 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 28329 itself that is 17751, so 28329 is deficient (17751 is less than 28329). Euler's totient φ(28329) = 15120 numbers up to 28329 share no factor with it.
- 4
The digits of 28329 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28329 = 3 \times 7 \times 19 \times 71 \]
28329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 15120 |
| Square | 802532241 |
| Cube | 22734935855289 |
| Square root | 168.312210 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8329 × |
28329 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand three hundred and twenty-nine |
| Binary (base 2) | 110111010101001 |
| Octal (base 8) | 67251 |
| Hexadecimal (base 16) | 6EA9 |
| Base 3 | 1102212020 |
| As time | 28329 seconds = 7 h 52 min 9 s |
Is 28329 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 (28329 ÷ 3 = 9443) | 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 | Yes (28329 ÷ 7 = 4047) | 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 4) | 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 28329 a prime number?
No. 28329 = 3 × 7 × 19 × 71, so it is divisible by 3.
What are the factors of 28329?
1, 3, 7, 19, 21, 57, 71, 133, 213, 399, 497, 1349, 1491, 4047, 9443, 28329.
What is 28329 in binary?
110111010101001 (hexadecimal 6EA9, octal 67251).
What is the square root of 28329?
About 168.3122.
Is 28329 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 28329?
It is a composite number with 16 divisors.