The number 9328
9328 is a composite number with 20 divisors. Its prime factorisation is × 11 × 53. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 53, 88, 106, 176, 212, 424, 583, 848 … 9328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9328: a Harshad number: divisible by its digit sum 22.
- 2
9328 is composite. Its prime factorisation is
- 3
The divisors add up to 20088; without 9328 itself that is 10760, so 9328 is abundant (10760 is more than 9328). Euler's totient φ(9328) = 4160 numbers up to 9328 share no factor with it.
- 4
The digits of 9328 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9328 = 2^{4} \times 11 \times 53 \]9328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 20088 |
| Euler totient φ(n) | 4160 |
| Square | 87011584 |
| Cube | 811644055552 |
| Square root | 96.581572 (= 4√583) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.328 × |
9328 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and twenty-eight |
| Binary (base 2) | 10010001110000 |
| Octal (base 8) | 22160 |
| Hexadecimal (base 16) | 2470 |
| Base 3 | 110210111 |
| As time | 9328 seconds = 2 h 35 min 28 s |
Is 9328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9328 ÷ 2 = 4664) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9328 ÷ 4 = 2332) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (9328 ÷ 8 = 1166) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9328 ÷ 11 = 848) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9328 a prime number?
No. 9328 = × 11 × 53, so it is divisible by 2.
What are the factors of 9328?
1, 2, 4, 8, 11, 16, 22, 44, 53, 88, 106, 176, 212, 424, 583, 848, 1166, 2332, 4664, 9328.
What is 9328 in binary?
10010001110000 (hexadecimal 2470, octal 22160).
What is the square root of 9328?
About 96.5816, exactly 4√583.
Is 9328 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9328?
9328 is a Harshad number: divisible by its digit sum 22.