The number 9165
9165 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 47. Divisors (16): 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9165 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 9165 itself that is 6963, so 9165 is deficient (6963 is less than 9165). Euler's totient φ(9165) = 4416 numbers up to 9165 share no factor with it.
- 4
The digits of 9165 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9165 = 3 \times 5 \times 13 \times 47 \]
9165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 4416 |
| Square | 83997225 |
| Cube | 769834567125 |
| Square root | 95.734006 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.165 × |
9165 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and sixty-five |
| Binary (base 2) | 10001111001101 |
| Octal (base 8) | 21715 |
| Hexadecimal (base 16) | 23CD |
| Base 3 | 110120110 |
| As time | 9165 seconds = 2 h 32 min 45 s |
Is 9165 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 | Yes (9165 ÷ 3 = 3055) | 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 (9165 ÷ 5 = 1833) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9165 a prime number?
No. 9165 = 3 × 5 × 13 × 47, so it is divisible by 3.
What are the factors of 9165?
1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165.
What is 9165 in binary?
10001111001101 (hexadecimal 23CD, octal 21715).
What is the square root of 9165?
About 95.7340.
Is 9165 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9165?
It is a composite number with 16 divisors.