The number 80904
80904 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3371. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3371, 6742, 10113, 13484, 20226, 26968, 40452, 80904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80904 is composite. Its prime factorisation is
- 3
The divisors add up to 202320; without 80904 itself that is 121416, so 80904 is abundant (121416 is more than 80904). Euler's totient φ(80904) = 26960 numbers up to 80904 share no factor with it.
- 4
The digits of 80904 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80904 = 2^{3} \times 3 \times 3371 \]80904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 202320 |
| Euler totient φ(n) | 26960 |
| Square | 6545457216 |
| Cube | 529553670603264 |
| Square root | 284.436285 (= 2√20226) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0904 × |
80904 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and four |
| Binary (base 2) | 10011110000001000 |
| Octal (base 8) | 236010 |
| Hexadecimal (base 16) | 13C08 |
| Base 3 | 11002222110 |
| As time | 80904 seconds = 22 h 28 min 24 s |
Is 80904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80904 ÷ 2 = 40452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80904 ÷ 3 = 26968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80904 ÷ 4 = 20226) | 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 (80904 ÷ 6 = 13484) | 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 | Yes (80904 ÷ 8 = 10113) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80904 ÷ 12 = 6742) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80904 a prime number?
No. 80904 = × 3 × 3371, so it is divisible by 2.
What are the factors of 80904?
1, 2, 3, 4, 6, 8, 12, 24, 3371, 6742, 10113, 13484, 20226, 26968, 40452, 80904.
What is 80904 in binary?
10011110000001000 (hexadecimal 13C08, octal 236010).
What is the square root of 80904?
About 284.4363, exactly 2√20226.
Is 80904 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80904?
It is a composite number with 16 divisors.