The number 12804
12804 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 97. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 97, 132, 194, 291, 388 … 12804.
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How to work it out
- 1
12804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12804 is composite. Its prime factorisation is
- 3
The divisors add up to 32928; without 12804 itself that is 20124, so 12804 is abundant (20124 is more than 12804). Euler's totient φ(12804) = 3840 numbers up to 12804 share no factor with it.
- 4
The digits of 12804 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12804 = 2^{2} \times 3 \times 11 \times 97 \]12804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 32928 |
| Euler totient φ(n) | 3840 |
| Square | 163942416 |
| Cube | 2099118694464 |
| Square root | 113.154761 (= 2√3201) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.2804 × |
12804 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand eight hundred and four |
| Binary (base 2) | 11001000000100 |
| Octal (base 8) | 31004 |
| Hexadecimal (base 16) | 3204 |
| Base 3 | 122120020 |
| As time | 12804 seconds = 3 h 33 min 24 s |
Is 12804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12804 ÷ 2 = 6402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12804 ÷ 3 = 4268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12804 ÷ 4 = 3201) | 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 (12804 ÷ 6 = 2134) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 | Yes (12804 ÷ 11 = 1164) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12804 ÷ 12 = 1067) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12804 a prime number?
No. 12804 = × 3 × 11 × 97, so it is divisible by 2.
What are the factors of 12804?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 97, 132, 194, 291, 388, 582, 1067, 1164, 2134, 3201, 4268, 6402, 12804.
What is 12804 in binary?
11001000000100 (hexadecimal 3204, octal 31004).
What is the square root of 12804?
About 113.1548, exactly 2√3201.
Is 12804 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12804?
It is a composite number with 24 divisors.