The number 36804
36804 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3067. Divisors (12): 1, 2, 3, 4, 6, 12, 3067, 6134, 9201, 12268, 18402, 36804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36804 is composite. Its prime factorisation is
- 3
The divisors add up to 85904; without 36804 itself that is 49100, so 36804 is abundant (49100 is more than 36804). Euler's totient φ(36804) = 12264 numbers up to 36804 share no factor with it.
- 4
The digits of 36804 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36804 = 2^{2} \times 3 \times 3067 \]36804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85904 |
| Euler totient φ(n) | 12264 |
| Square | 1354534416 |
| Cube | 49852284646464 |
| Square root | 191.843686 (= 2√9201) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.6804 × |
36804 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and four |
| Binary (base 2) | 1000111111000100 |
| Octal (base 8) | 107704 |
| Hexadecimal (base 16) | 8FC4 |
| Base 3 | 1212111010 |
| As time | 36804 seconds = 10 h 13 min 24 s |
Is 36804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36804 ÷ 2 = 18402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36804 ÷ 3 = 12268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36804 ÷ 4 = 9201) | 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 | Yes (36804 ÷ 6 = 6134) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36804 ÷ 12 = 3067) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36804 a prime number?
No. 36804 = × 3 × 3067, so it is divisible by 2.
What are the factors of 36804?
1, 2, 3, 4, 6, 12, 3067, 6134, 9201, 12268, 18402, 36804.
What is 36804 in binary?
1000111111000100 (hexadecimal 8FC4, octal 107704).
What is the square root of 36804?
About 191.8437, exactly 2√9201.
Is 36804 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 36804?
It is a composite number with 12 divisors.