The number 96804
96804 is a composite number with 18 divisors. Its prime factorisation is × × 2689. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2689, 5378, 8067, 10756, 16134, 24201, 32268 … 96804.
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How to work it out
- 1
96804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96804 is composite. Its prime factorisation is
- 3
The divisors add up to 244790; without 96804 itself that is 147986, so 96804 is abundant (147986 is more than 96804). Euler's totient φ(96804) = 32256 numbers up to 96804 share no factor with it.
- 4
The digits of 96804 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96804 = 2^{2} \times 3^{2} \times 2689 \]96804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 244790 |
| Euler totient φ(n) | 32256 |
| Square | 9371014416 |
| Cube | 907151679526464 |
| Square root | 311.133412 (= 6√2689) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.6804 × |
96804 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand eight hundred and four |
| Binary (base 2) | 10111101000100100 |
| Octal (base 8) | 275044 |
| Hexadecimal (base 16) | 17A24 |
| Base 3 | 11220210100 |
| As time | 96804 seconds = 26 h 53 min 24 s |
Is 96804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96804 ÷ 2 = 48402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96804 ÷ 3 = 32268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96804 ÷ 4 = 24201) | 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 (96804 ÷ 6 = 16134) | 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 | Yes (96804 ÷ 9 = 10756) | 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 | Yes (96804 ÷ 12 = 8067) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96804 a prime number?
No. 96804 = × × 2689, so it is divisible by 2.
What are the factors of 96804?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2689, 5378, 8067, 10756, 16134, 24201, 32268, 48402, 96804.
What is 96804 in binary?
10111101000100100 (hexadecimal 17A24, octal 275044).
What is the square root of 96804?
About 311.1334, exactly 6√2689.
Is 96804 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 96804?
It is a composite number with 18 divisors.