The number 11088
11088 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 11. Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24 … 11088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11088: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
11088 is composite. Its prime factorisation is
- 3
The divisors add up to 38688; without 11088 itself that is 27600, so 11088 is abundant (27600 is more than 11088). Euler's totient φ(11088) = 2880 numbers up to 11088 share no factor with it.
- 4
The digits of 11088 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11088 = 2^{4} \times 3^{2} \times 7 \times 11 \]11088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 38688 |
| Euler totient φ(n) | 2880 |
| Square | 122943744 |
| Cube | 1363200233472 |
| Square root | 105.299573 (= 12√77) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1088 × |
11088 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and eighty-eight |
| Binary (base 2) | 10101101010000 |
| Octal (base 8) | 25520 |
| Hexadecimal (base 16) | 2B50 |
| Base 3 | 120012200 |
| As time | 11088 seconds = 3 h 4 min 48 s |
Is 11088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11088 ÷ 2 = 5544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11088 ÷ 3 = 3696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11088 ÷ 4 = 2772) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11088 ÷ 6 = 1848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11088 ÷ 7 = 1584) | 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 (11088 ÷ 8 = 1386) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11088 ÷ 9 = 1232) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11088 ÷ 11 = 1008) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11088 ÷ 12 = 924) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11088 a prime number?
No. 11088 = × × 7 × 11, so it is divisible by 2.
What are the factors of 11088?
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 33, 36, 42, 44, 48, 56, 63, 66, 72, 77, 84, 88, 99, 112, 126, 132, 144, 154, 168, 176, 198, 231, 252, 264, 308, 336, 396, 462, 504, 528, 616, 693, 792, 924, 1008, 1232, 1386, 1584, 1848, 2772, 3696, 5544, 11088.
What is 11088 in binary?
10101101010000 (hexadecimal 2B50, octal 25520).
What is the square root of 11088?
About 105.2996, exactly 12√77.
Is 11088 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11088?
11088 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.