The number 80804
80804 is a composite number with 6 divisors. Its prime factorisation is × 20201. Divisors (6): 1, 2, 4, 20201, 40402, 80804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80804 is composite. Its prime factorisation is
- 3
The divisors add up to 141414; without 80804 itself that is 60610, so 80804 is deficient (60610 is less than 80804). Euler's totient φ(80804) = 40400 numbers up to 80804 share no factor with it.
- 4
The digits of 80804 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80804 = 2^{2} \times 20201 \]80804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 141414 |
| Euler totient φ(n) | 40400 |
| Square | 6529286416 |
| Cube | 527592459558464 |
| Square root | 284.260444 (= 2√20201) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0804 × |
80804 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and four |
| Binary (base 2) | 10011101110100100 |
| Octal (base 8) | 235644 |
| Hexadecimal (base 16) | 13BA4 |
| Base 3 | 11002211202 |
| As time | 80804 seconds = 22 h 26 min 44 s |
Is 80804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80804 ÷ 2 = 40402) | 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 (80804 ÷ 4 = 20201) | 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 3) | 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 9) | 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 80804 a prime number?
No. 80804 = × 20201, so it is divisible by 2.
What are the factors of 80804?
1, 2, 4, 20201, 40402, 80804.
What is 80804 in binary?
10011101110100100 (hexadecimal 13BA4, octal 235644).
What is the square root of 80804?
About 284.2604, exactly 2√20201.
Is 80804 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80804?
It is a composite number with 6 divisors.