The number 32828
32828 is a composite number with 12 divisors. Its prime factorisation is × 29 × 283. Divisors (12): 1, 2, 4, 29, 58, 116, 283, 566, 1132, 8207, 16414, 32828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32828 is composite. Its prime factorisation is
- 3
The divisors add up to 59640; without 32828 itself that is 26812, so 32828 is deficient (26812 is less than 32828). Euler's totient φ(32828) = 15792 numbers up to 32828 share no factor with it.
- 4
The digits of 32828 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32828 = 2^{2} \times 29 \times 283 \]32828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59640 |
| Euler totient φ(n) | 15792 |
| Square | 1077677584 |
| Cube | 35377999727552 |
| Square root | 181.184988 (= 2√8207) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2828 × |
32828 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and twenty-eight |
| Binary (base 2) | 1000000000111100 |
| Octal (base 8) | 100074 |
| Hexadecimal (base 16) | 803C |
| Base 3 | 1200000212 |
| As time | 32828 seconds = 9 h 7 min 8 s |
Is 32828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32828 ÷ 2 = 16414) | 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 | Yes (32828 ÷ 4 = 8207) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32828 a prime number?
No. 32828 = × 29 × 283, so it is divisible by 2.
What are the factors of 32828?
1, 2, 4, 29, 58, 116, 283, 566, 1132, 8207, 16414, 32828.
What is 32828 in binary?
1000000000111100 (hexadecimal 803C, octal 100074).
What is the square root of 32828?
About 181.1850, exactly 2√8207.
Is 32828 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 32828?
It is a composite number with 12 divisors.