The number 9330
9330 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 311. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9330: a Harshad number: divisible by its digit sum 15.
- 2
9330 is composite. Its prime factorisation is
- 3
The divisors add up to 22464; without 9330 itself that is 13134, so 9330 is abundant (13134 is more than 9330). Euler's totient φ(9330) = 2480 numbers up to 9330 share no factor with it.
- 4
The digits of 9330 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9330 = 2 \times 3 \times 5 \times 311 \]
9330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 22464 |
| Euler totient φ(n) | 2480 |
| Square | 87048900 |
| Cube | 812166237000 |
| Square root | 96.591925 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.33 × |
9330 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and thirty |
| Binary (base 2) | 10010001110010 |
| Octal (base 8) | 22162 |
| Hexadecimal (base 16) | 2472 |
| Base 3 | 110210120 |
| As time | 9330 seconds = 2 h 35 min 30 s |
Is 9330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9330 ÷ 2 = 4665) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9330 ÷ 3 = 3110) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9330 ÷ 5 = 1866) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9330 ÷ 6 = 1555) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9330 ÷ 10 = 933) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9330 a prime number?
No. 9330 = 2 × 3 × 5 × 311, so it is divisible by 2.
What are the factors of 9330?
1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330.
What is 9330 in binary?
10010001110010 (hexadecimal 2472, octal 22162).
What is the square root of 9330?
About 96.5919.
Is 9330 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9330?
9330 is a Harshad number: divisible by its digit sum 15.