The number 8804
8804 is a composite number with 12 divisors. Its prime factorisation is × 31 × 71. Divisors (12): 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8804 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 8804 itself that is 7324, so 8804 is deficient (7324 is less than 8804). Euler's totient φ(8804) = 4200 numbers up to 8804 share no factor with it.
- 4
The digits of 8804 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8804 = 2^{2} \times 31 \times 71 \]8804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 4200 |
| Square | 77510416 |
| Cube | 682401702464 |
| Square root | 93.829633 (= 2√2201) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.804 × |
8804 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and four |
| Binary (base 2) | 10001001100100 |
| Octal (base 8) | 21144 |
| Hexadecimal (base 16) | 2264 |
| Base 3 | 110002002 |
| As time | 8804 seconds = 2 h 26 min 44 s |
Is 8804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8804 ÷ 2 = 4402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8804 ÷ 4 = 2201) | 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 2) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8804 a prime number?
No. 8804 = × 31 × 71, so it is divisible by 2.
What are the factors of 8804?
1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804.
What is 8804 in binary?
10001001100100 (hexadecimal 2264, octal 21144).
What is the square root of 8804?
About 93.8296, exactly 2√2201.
Is 8804 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8804?
It is a composite number with 12 divisors.