The number 11187
11187 is a composite number with 12 divisors. Its prime factorisation is × 11 × 113. Divisors (12): 1, 3, 9, 11, 33, 99, 113, 339, 1017, 1243, 3729, 11187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11187 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11187 is composite. Its prime factorisation is
- 3
The divisors add up to 17784; without 11187 itself that is 6597, so 11187 is deficient (6597 is less than 11187). Euler's totient φ(11187) = 6720 numbers up to 11187 share no factor with it.
- 4
The digits of 11187 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11187 = 3^{2} \times 11 \times 113 \]11187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17784 |
| Euler totient φ(n) | 6720 |
| Square | 125148969 |
| Cube | 1400041516203 |
| Square root | 105.768615 (= 3√1243) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1187 × |
11187 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and eighty-seven |
| Binary (base 2) | 10101110110011 |
| Octal (base 8) | 25663 |
| Hexadecimal (base 16) | 2BB3 |
| Base 3 | 120100100 |
| As time | 11187 seconds = 3 h 6 min 27 s |
Is 11187 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 (11187 ÷ 3 = 3729) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11187 ÷ 9 = 1243) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11187 ÷ 11 = 1017) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11187 a prime number?
No. 11187 = × 11 × 113, so it is divisible by 3.
What are the factors of 11187?
1, 3, 9, 11, 33, 99, 113, 339, 1017, 1243, 3729, 11187.
What is 11187 in binary?
10101110110011 (hexadecimal 2BB3, octal 25663).
What is the square root of 11187?
About 105.7686, exactly 3√1243.
Is 11187 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11187?
It is a composite number with 12 divisors.