The number 9804
9804 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 43. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228 … 9804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9804 is composite. Its prime factorisation is
- 3
The divisors add up to 24640; without 9804 itself that is 14836, so 9804 is abundant (14836 is more than 9804). Euler's totient φ(9804) = 3024 numbers up to 9804 share no factor with it.
- 4
The digits of 9804 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9804 = 2^{2} \times 3 \times 19 \times 43 \]9804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24640 |
| Euler totient φ(n) | 3024 |
| Square | 96118416 |
| Cube | 942344950464 |
| Square root | 99.015150 (= 2√2451) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.804 × |
9804 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and four |
| Binary (base 2) | 10011001001100 |
| Octal (base 8) | 23114 |
| Hexadecimal (base 16) | 264C |
| Base 3 | 111110010 |
| As time | 9804 seconds = 2 h 43 min 24 s |
Is 9804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9804 ÷ 2 = 4902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9804 ÷ 3 = 3268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9804 ÷ 4 = 2451) | 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 (9804 ÷ 6 = 1634) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9804 ÷ 12 = 817) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9804 a prime number?
No. 9804 = × 3 × 19 × 43, so it is divisible by 2.
What are the factors of 9804?
1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804.
What is 9804 in binary?
10011001001100 (hexadecimal 264C, octal 23114).
What is the square root of 9804?
About 99.0152, exactly 2√2451.
Is 9804 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9804?
It is a composite number with 24 divisors.