The number 9065
9065 is a composite number with 12 divisors. Its prime factorisation is 5 × × 37. Divisors (12): 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9065 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9065 is composite. Its prime factorisation is
- 3
The divisors add up to 12996; without 9065 itself that is 3931, so 9065 is deficient (3931 is less than 9065). Euler's totient φ(9065) = 6048 numbers up to 9065 share no factor with it.
- 4
The digits of 9065 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9065 = 5 \times 7^{2} \times 37 \]9065 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12996 |
| Euler totient φ(n) | 6048 |
| Square | 82174225 |
| Cube | 744909349625 |
| Square root | 95.210294 (= 7√185) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.065 × |
9065 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and sixty-five |
| Binary (base 2) | 10001101101001 |
| Octal (base 8) | 21551 |
| Hexadecimal (base 16) | 2369 |
| Base 3 | 110102202 |
| As time | 9065 seconds = 2 h 31 min 5 s |
Is 9065 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9065 ÷ 5 = 1813) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9065 ÷ 7 = 1295) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9065 a prime number?
No. 9065 = 5 × × 37, so it is divisible by 5.
What are the factors of 9065?
1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065.
What is 9065 in binary?
10001101101001 (hexadecimal 2369, octal 21551).
What is the square root of 9065?
About 95.2103, exactly 7√185.
Is 9065 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9065?
It is a composite number with 12 divisors.