The number 28804
28804 is a composite number with 12 divisors. Its prime factorisation is × 19 × 379. Divisors (12): 1, 2, 4, 19, 38, 76, 379, 758, 1516, 7201, 14402, 28804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28804 is composite. Its prime factorisation is
- 3
The divisors add up to 53200; without 28804 itself that is 24396, so 28804 is deficient (24396 is less than 28804). Euler's totient φ(28804) = 13608 numbers up to 28804 share no factor with it.
- 4
The digits of 28804 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28804 = 2^{2} \times 19 \times 379 \]28804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53200 |
| Euler totient φ(n) | 13608 |
| Square | 829670416 |
| Cube | 23897826662464 |
| Square root | 169.717412 (= 2√7201) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.8804 × |
28804 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand eight hundred and four |
| Binary (base 2) | 111000010000100 |
| Octal (base 8) | 70204 |
| Hexadecimal (base 16) | 7084 |
| Base 3 | 1110111211 |
| As time | 28804 seconds = 8 h 0 min 4 s |
Is 28804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28804 ÷ 2 = 14402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28804 ÷ 4 = 7201) | 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 4) | 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 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28804 a prime number?
No. 28804 = × 19 × 379, so it is divisible by 2.
What are the factors of 28804?
1, 2, 4, 19, 38, 76, 379, 758, 1516, 7201, 14402, 28804.
What is 28804 in binary?
111000010000100 (hexadecimal 7084, octal 70204).
What is the square root of 28804?
About 169.7174, exactly 2√7201.
Is 28804 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 28804?
It is a composite number with 12 divisors.