The number 6804
6804 is a composite number with 36 divisors. Its prime factorisation is × × 7. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54 … 6804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6804: a Harshad number: divisible by its digit sum 18.
- 2
6804 is composite. Its prime factorisation is
- 3
The divisors add up to 20384; without 6804 itself that is 13580, so 6804 is abundant (13580 is more than 6804). Euler's totient φ(6804) = 1944 numbers up to 6804 share no factor with it.
- 4
The digits of 6804 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6804 = 2^{2} \times 3^{5} \times 7 \]6804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 20384 |
| Euler totient φ(n) | 1944 |
| Square | 46294416 |
| Cube | 314987206464 |
| Square root | 82.486363 (= 18√21) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.804 × |
6804 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and four |
| Binary (base 2) | 1101010010100 |
| Octal (base 8) | 15224 |
| Hexadecimal (base 16) | 1A94 |
| Base 3 | 100100000 |
| As time | 6804 seconds = 1 h 53 min 24 s |
Is 6804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6804 ÷ 2 = 3402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6804 ÷ 3 = 2268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6804 ÷ 4 = 1701) | 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 (6804 ÷ 6 = 1134) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6804 ÷ 7 = 972) | 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 | Yes (6804 ÷ 9 = 756) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6804 ÷ 12 = 567) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6804 a prime number?
No. 6804 = × × 7, so it is divisible by 2.
What are the factors of 6804?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804.
What is 6804 in binary?
1101010010100 (hexadecimal 1A94, octal 15224).
What is the square root of 6804?
About 82.4864, exactly 18√21.
Is 6804 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6804?
6804 is a Harshad number: divisible by its digit sum 18.