The number 32804
32804 is a composite number with 12 divisors. Its prime factorisation is × 59 × 139. Divisors (12): 1, 2, 4, 59, 118, 139, 236, 278, 556, 8201, 16402, 32804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32804 is composite. Its prime factorisation is
- 3
The divisors add up to 58800; without 32804 itself that is 25996, so 32804 is deficient (25996 is less than 32804). Euler's totient φ(32804) = 16008 numbers up to 32804 share no factor with it.
- 4
The digits of 32804 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32804 = 2^{2} \times 59 \times 139 \]32804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58800 |
| Euler totient φ(n) | 16008 |
| Square | 1076102416 |
| Cube | 35300463654464 |
| Square root | 181.118746 (= 2√8201) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2804 × |
32804 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and four |
| Binary (base 2) | 1000000000100100 |
| Octal (base 8) | 100044 |
| Hexadecimal (base 16) | 8024 |
| Base 3 | 1122222222 |
| As time | 32804 seconds = 9 h 6 min 44 s |
Is 32804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32804 ÷ 2 = 16402) | 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 (32804 ÷ 4 = 8201) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 32804 a prime number?
No. 32804 = × 59 × 139, so it is divisible by 2.
What are the factors of 32804?
1, 2, 4, 59, 118, 139, 236, 278, 556, 8201, 16402, 32804.
What is 32804 in binary?
1000000000100100 (hexadecimal 8024, octal 100044).
What is the square root of 32804?
About 181.1187, exactly 2√8201.
Is 32804 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32804?
It is a composite number with 12 divisors.