The number 9108
9108 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 23. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66 … 9108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9108: a Harshad number: divisible by its digit sum 18.
- 2
9108 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 9108 itself that is 17100, so 9108 is abundant (17100 is more than 9108). Euler's totient φ(9108) = 2640 numbers up to 9108 share no factor with it.
- 4
The digits of 9108 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
\[ 9108 = 2^{2} \times 3^{2} \times 11 \times 23 \]9108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 2640 |
| Square | 82955664 |
| Cube | 755560187712 |
| Square root | 95.435842 (= 6√253) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.108 × |
9108 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and eight |
| Binary (base 2) | 10001110010100 |
| Octal (base 8) | 21624 |
| Hexadecimal (base 16) | 2394 |
| Base 3 | 110111100 |
| As time | 9108 seconds = 2 h 31 min 48 s |
Is 9108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9108 ÷ 2 = 4554) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9108 ÷ 3 = 3036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9108 ÷ 4 = 2277) | 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 | Yes (9108 ÷ 6 = 1518) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9108 ÷ 9 = 1012) | 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 (9108 ÷ 11 = 828) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9108 ÷ 12 = 759) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9108 a prime number?
No. 9108 = × × 11 × 23, so it is divisible by 2.
What are the factors of 9108?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108.
What is 9108 in binary?
10001110010100 (hexadecimal 2394, octal 21624).
What is the square root of 9108?
About 95.4358, exactly 6√253.
Is 9108 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9108?
9108 is a Harshad number: divisible by its digit sum 18.