The number 32808
32808 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1367. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1367, 2734, 4101, 5468, 8202, 10936, 16404, 32808.
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How to work it out
- 1
32808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32808 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 32808 itself that is 49272, so 32808 is abundant (49272 is more than 32808). Euler's totient φ(32808) = 10928 numbers up to 32808 share no factor with it.
- 4
The digits of 32808 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32808 = 2^{3} \times 3 \times 1367 \]32808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 10928 |
| Square | 1076364864 |
| Cube | 35313378458112 |
| Square root | 181.129788 (= 2√8202) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2808 × |
32808 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and eight |
| Binary (base 2) | 1000000000101000 |
| Octal (base 8) | 100050 |
| Hexadecimal (base 16) | 8028 |
| Base 3 | 1200000010 |
| As time | 32808 seconds = 9 h 6 min 48 s |
Is 32808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32808 ÷ 2 = 16404) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32808 ÷ 3 = 10936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32808 ÷ 4 = 8202) | 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 | Yes (32808 ÷ 6 = 5468) | 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 | Yes (32808 ÷ 8 = 4101) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32808 ÷ 12 = 2734) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32808 a prime number?
No. 32808 = × 3 × 1367, so it is divisible by 2.
What are the factors of 32808?
1, 2, 3, 4, 6, 8, 12, 24, 1367, 2734, 4101, 5468, 8202, 10936, 16404, 32808.
What is 32808 in binary?
1000000000101000 (hexadecimal 8028, octal 100050).
What is the square root of 32808?
About 181.1298, exactly 2√8202.
Is 32808 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32808?
It is a composite number with 16 divisors.