The number 9824
9824 is a composite number with 12 divisors. Its prime factorisation is × 307. Divisors (12): 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9824 is composite. Its prime factorisation is
- 3
The divisors add up to 19404; without 9824 itself that is 9580, so 9824 is deficient (9580 is less than 9824). Euler's totient φ(9824) = 4896 numbers up to 9824 share no factor with it.
- 4
The digits of 9824 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9824 = 2^{5} \times 307 \]9824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19404 |
| Euler totient φ(n) | 4896 |
| Square | 96510976 |
| Cube | 948123828224 |
| Square root | 99.116094 (= 4√614) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.824 × |
9824 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and twenty-four |
| Binary (base 2) | 10011001100000 |
| Octal (base 8) | 23140 |
| Hexadecimal (base 16) | 2660 |
| Base 3 | 111110212 |
| As time | 9824 seconds = 2 h 43 min 44 s |
Is 9824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9824 ÷ 2 = 4912) | 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 (9824 ÷ 4 = 2456) | 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 | Yes (9824 ÷ 8 = 1228) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 9824 a prime number?
No. 9824 = × 307, so it is divisible by 2.
What are the factors of 9824?
1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824.
What is 9824 in binary?
10011001100000 (hexadecimal 2660, octal 23140).
What is the square root of 9824?
About 99.1161, exactly 4√614.
Is 9824 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9824?
It is a composite number with 12 divisors.