The number 9324
9324 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 37. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63 … 9324.
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How to work it out
- 1
What is special about 9324: a Harshad number: divisible by its digit sum 18.
- 2
9324 is composite. Its prime factorisation is
- 3
The divisors add up to 27664; without 9324 itself that is 18340, so 9324 is abundant (18340 is more than 9324). Euler's totient φ(9324) = 2592 numbers up to 9324 share no factor with it.
- 4
The digits of 9324 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9324 = 2^{2} \times 3^{2} \times 7 \times 37 \]9324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 27664 |
| Euler totient φ(n) | 2592 |
| Square | 86936976 |
| Cube | 810600364224 |
| Square root | 96.560862 (= 6√259) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 9.324 × |
9324 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and twenty-four |
| Binary (base 2) | 10010001101100 |
| Octal (base 8) | 22154 |
| Hexadecimal (base 16) | 246C |
| Base 3 | 110210100 |
| As time | 9324 seconds = 2 h 35 min 24 s |
Is 9324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9324 ÷ 2 = 4662) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9324 ÷ 3 = 3108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9324 ÷ 4 = 2331) | 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 (9324 ÷ 6 = 1554) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9324 ÷ 7 = 1332) | 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 (9324 ÷ 9 = 1036) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9324 ÷ 12 = 777) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9324 a prime number?
No. 9324 = × × 7 × 37, so it is divisible by 2.
What are the factors of 9324?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324.
What is 9324 in binary?
10010001101100 (hexadecimal 246C, octal 22154).
What is the square root of 9324?
About 96.5609, exactly 6√259.
Is 9324 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9324?
9324 is a Harshad number: divisible by its digit sum 18.