The number 11165
11165 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 11 × 29. Divisors (16): 1, 5, 7, 11, 29, 35, 55, 77, 145, 203, 319, 385, 1015, 1595, 2233, 11165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11165 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 11165 itself that is 6115, so 11165 is deficient (6115 is less than 11165). Euler's totient φ(11165) = 6720 numbers up to 11165 share no factor with it.
- 4
The digits of 11165 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11165 = 5 \times 7 \times 11 \times 29 \]
11165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 6720 |
| Square | 124657225 |
| Cube | 1391797917125 |
| Square root | 105.664564 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1165 × |
11165 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and sixty-five |
| Binary (base 2) | 10101110011101 |
| Octal (base 8) | 25635 |
| Hexadecimal (base 16) | 2B9D |
| Base 3 | 120022112 |
| As time | 11165 seconds = 3 h 6 min 5 s |
Is 11165 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 (11165 ÷ 5 = 2233) | 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 (11165 ÷ 7 = 1595) | 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 5) | 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 | Yes (11165 ÷ 11 = 1015) | 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 11165 a prime number?
No. 11165 = 5 × 7 × 11 × 29, so it is divisible by 5.
What are the factors of 11165?
1, 5, 7, 11, 29, 35, 55, 77, 145, 203, 319, 385, 1015, 1595, 2233, 11165.
What is 11165 in binary?
10101110011101 (hexadecimal 2B9D, octal 25635).
What is the square root of 11165?
About 105.6646.
Is 11165 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 11165?
It is a composite number with 16 divisors.