The number 804
804 is a composite number with 12 divisors. Its prime factorisation is × 3 × 67. Divisors (12): 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 804: a Harshad number: divisible by its digit sum 12.
- 2
804 is composite. Its prime factorisation is
- 3
The divisors add up to 1904; without 804 itself that is 1100, so 804 is abundant (1100 is more than 804). Euler's totient φ(804) = 264 numbers up to 804 share no factor with it.
- 4
The digits of 804 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 804 = 2^{2} \times 3 \times 67 \]804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1904 |
| Euler totient φ(n) | 264 |
| Square | 646416 |
| Cube | 519718464 |
| Square root | 28.354894 (= 2√201) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 20 |
| Scientific notation | 8.04 × |
804 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and four |
| Roman numerals | DCCCIV |
| Binary (base 2) | 1100100100 |
| Octal (base 8) | 1444 |
| Hexadecimal (base 16) | 324 |
| Base 3 | 1002210 |
| As time | 804 seconds = 13 min 24 s |
Is 804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (804 ÷ 2 = 402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (804 ÷ 3 = 268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (804 ÷ 4 = 201) | 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 (804 ÷ 6 = 134) | 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 | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (804 ÷ 12 = 67) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 804 a prime number?
No. 804 = × 3 × 67, so it is divisible by 2.
What are the factors of 804?
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
What is 804 in binary?
1100100100 (hexadecimal 324, octal 1444).
What is the square root of 804?
About 28.3549, exactly 2√201.
What is 804 in Roman numerals?
DCCCIV.
Is 804 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 804?
804 is a Harshad number: divisible by its digit sum 12.