The number 11164
11164 is a composite number with 6 divisors. Its prime factorisation is × 2791. Divisors (6): 1, 2, 4, 2791, 5582, 11164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11164 is composite. Its prime factorisation is
- 3
The divisors add up to 19544; without 11164 itself that is 8380, so 11164 is deficient (8380 is less than 11164). Euler's totient φ(11164) = 5580 numbers up to 11164 share no factor with it.
- 4
The digits of 11164 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11164 = 2^{2} \times 2791 \]11164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 19544 |
| Euler totient φ(n) | 5580 |
| Square | 124634896 |
| Cube | 1391423978944 |
| Square root | 105.659832 (= 2√2791) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1164 × |
11164 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and sixty-four |
| Binary (base 2) | 10101110011100 |
| Octal (base 8) | 25634 |
| Hexadecimal (base 16) | 2B9C |
| Base 3 | 120022111 |
| As time | 11164 seconds = 3 h 6 min 4 s |
Is 11164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11164 ÷ 2 = 5582) | 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 (11164 ÷ 4 = 2791) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11164 a prime number?
No. 11164 = × 2791, so it is divisible by 2.
What are the factors of 11164?
1, 2, 4, 2791, 5582, 11164.
What is 11164 in binary?
10101110011100 (hexadecimal 2B9C, octal 25634).
What is the square root of 11164?
About 105.6598, exactly 2√2791.
Is 11164 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11164?
It is a composite number with 6 divisors.