The number 11184
11184 is a composite number with 20 divisors. Its prime factorisation is × 3 × 233. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 233, 466, 699, 932, 1398, 1864 … 11184.
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How to work it out
- 1
11184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11184 is composite. Its prime factorisation is
- 3
The divisors add up to 29016; without 11184 itself that is 17832, so 11184 is abundant (17832 is more than 11184). Euler's totient φ(11184) = 3712 numbers up to 11184 share no factor with it.
- 4
The digits of 11184 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11184 = 2^{4} \times 3 \times 233 \]11184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 29016 |
| Euler totient φ(n) | 3712 |
| Square | 125081856 |
| Cube | 1398915477504 |
| Square root | 105.754433 (= 4√699) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1184 × |
11184 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and eighty-four |
| Binary (base 2) | 10101110110000 |
| Octal (base 8) | 25660 |
| Hexadecimal (base 16) | 2BB0 |
| Base 3 | 120100020 |
| As time | 11184 seconds = 3 h 6 min 24 s |
Is 11184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11184 ÷ 2 = 5592) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11184 ÷ 3 = 3728) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11184 ÷ 4 = 2796) | 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 | Yes (11184 ÷ 6 = 1864) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (11184 ÷ 8 = 1398) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11184 ÷ 12 = 932) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11184 a prime number?
No. 11184 = × 3 × 233, so it is divisible by 2.
What are the factors of 11184?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 11184.
What is 11184 in binary?
10101110110000 (hexadecimal 2BB0, octal 25660).
What is the square root of 11184?
About 105.7544, exactly 4√699.
Is 11184 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11184?
It is a composite number with 20 divisors.