The number 9096
9096 is a composite number with 16 divisors. Its prime factorisation is × 3 × 379. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9096: a Harshad number: divisible by its digit sum 24.
- 2
9096 is composite. Its prime factorisation is
- 3
The divisors add up to 22800; without 9096 itself that is 13704, so 9096 is abundant (13704 is more than 9096). Euler's totient φ(9096) = 3024 numbers up to 9096 share no factor with it.
- 4
The digits of 9096 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9096 = 2^{3} \times 3 \times 379 \]9096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 22800 |
| Euler totient φ(n) | 3024 |
| Square | 82737216 |
| Cube | 752577716736 |
| Square root | 95.372952 (= 2√2274) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 21 |
| Scientific notation | 9.096 × |
9096 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and ninety-six |
| Binary (base 2) | 10001110001000 |
| Octal (base 8) | 21610 |
| Hexadecimal (base 16) | 2388 |
| Base 3 | 110110220 |
| As time | 9096 seconds = 2 h 31 min 36 s |
Is 9096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9096 ÷ 2 = 4548) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9096 ÷ 3 = 3032) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9096 ÷ 4 = 2274) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9096 ÷ 6 = 1516) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (9096 ÷ 8 = 1137) | 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 | No (remainder 6) | 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 (9096 ÷ 12 = 758) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9096 a prime number?
No. 9096 = × 3 × 379, so it is divisible by 2.
What are the factors of 9096?
1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096.
What is 9096 in binary?
10001110001000 (hexadecimal 2388, octal 21610).
What is the square root of 9096?
About 95.3730, exactly 2√2274.
Is 9096 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9096?
9096 is a Harshad number: divisible by its digit sum 24.