The number 9088
9088 is a composite number with 16 divisors. Its prime factorisation is × 71. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9088 is composite. Its prime factorisation is
- 3
The divisors add up to 18360; without 9088 itself that is 9272, so 9088 is abundant (9272 is more than 9088). Euler's totient φ(9088) = 4480 numbers up to 9088 share no factor with it.
- 4
The digits of 9088 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9088 = 2^{7} \times 71 \]9088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18360 |
| Euler totient φ(n) | 4480 |
| Square | 82591744 |
| Cube | 750593769472 |
| Square root | 95.331002 (= 8√142) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 9.088 × |
9088 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and eighty-eight |
| Binary (base 2) | 10001110000000 |
| Octal (base 8) | 21600 |
| Hexadecimal (base 16) | 2380 |
| Base 3 | 110110121 |
| As time | 9088 seconds = 2 h 31 min 28 s |
Is 9088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9088 ÷ 2 = 4544) | 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 (9088 ÷ 4 = 2272) | 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 2) | 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 (9088 ÷ 8 = 1136) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 2) | 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 9088 a prime number?
No. 9088 = × 71, so it is divisible by 2.
What are the factors of 9088?
1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088.
What is 9088 in binary?
10001110000000 (hexadecimal 2380, octal 21600).
What is the square root of 9088?
About 95.3310, exactly 8√142.
Is 9088 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9088?
It is a composite number with 16 divisors.