The number 9360
9360 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 13. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24 … 9360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9360: a Harshad number: divisible by its digit sum 18.
- 2
9360 is composite. Its prime factorisation is
- 3
The divisors add up to 33852; without 9360 itself that is 24492, so 9360 is abundant (24492 is more than 9360). Euler's totient φ(9360) = 2304 numbers up to 9360 share no factor with it.
- 4
The digits of 9360 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9360 = 2^{4} \times 3^{2} \times 5 \times 13 \]9360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 33852 |
| Euler totient φ(n) | 2304 |
| Square | 87609600 |
| Cube | 820025856000 |
| Square root | 96.747093 (= 12√65) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.36 × |
9360 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and sixty |
| Binary (base 2) | 10010010010000 |
| Octal (base 8) | 22220 |
| Hexadecimal (base 16) | 2490 |
| Base 3 | 110211200 |
| As time | 9360 seconds = 2 h 36 min 0 s |
Is 9360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9360 ÷ 2 = 4680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9360 ÷ 3 = 3120) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9360 ÷ 4 = 2340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9360 ÷ 5 = 1872) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9360 ÷ 6 = 1560) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (9360 ÷ 8 = 1170) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9360 ÷ 9 = 1040) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9360 ÷ 10 = 936) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9360 ÷ 12 = 780) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9360 a prime number?
No. 9360 = × × 5 × 13, so it is divisible by 2.
What are the factors of 9360?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360.
What is 9360 in binary?
10010010010000 (hexadecimal 2490, octal 22220).
What is the square root of 9360?
About 96.7471, exactly 12√65.
Is 9360 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9360?
9360 is a Harshad number: divisible by its digit sum 18.