The number 11180
11180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 43. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 43, 52, 65, 86, 130, 172, 215, 260 … 11180.
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How to work it out
- 1
11180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11180 is composite. Its prime factorisation is
- 3
The divisors add up to 25872; without 11180 itself that is 14692, so 11180 is abundant (14692 is more than 11180). Euler's totient φ(11180) = 4032 numbers up to 11180 share no factor with it.
- 4
The digits of 11180 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11180 = 2^{2} \times 5 \times 13 \times 43 \]11180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25872 |
| Euler totient φ(n) | 4032 |
| Square | 124992400 |
| Cube | 1397415032000 |
| Square root | 105.735519 (= 2√2795) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.118 × |
11180 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and eighty |
| Binary (base 2) | 10101110101100 |
| Octal (base 8) | 25654 |
| Hexadecimal (base 16) | 2BAC |
| Base 3 | 120100002 |
| As time | 11180 seconds = 3 h 6 min 20 s |
Is 11180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11180 ÷ 2 = 5590) | 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 | Yes (11180 ÷ 4 = 2795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11180 ÷ 5 = 2236) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11180 ÷ 10 = 1118) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11180 a prime number?
No. 11180 = × 5 × 13 × 43, so it is divisible by 2.
What are the factors of 11180?
1, 2, 4, 5, 10, 13, 20, 26, 43, 52, 65, 86, 130, 172, 215, 260, 430, 559, 860, 1118, 2236, 2795, 5590, 11180.
What is 11180 in binary?
10101110101100 (hexadecimal 2BAC, octal 25654).
What is the square root of 11180?
About 105.7355, exactly 2√2795.
Is 11180 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 11180?
It is a composite number with 24 divisors.