The number 11688
11688 is a composite number with 16 divisors. Its prime factorisation is × 3 × 487. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 487, 974, 1461, 1948, 2922, 3896, 5844, 11688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11688: a Harshad number: divisible by its digit sum 24.
- 2
11688 is composite. Its prime factorisation is
- 3
The divisors add up to 29280; without 11688 itself that is 17592, so 11688 is abundant (17592 is more than 11688). Euler's totient φ(11688) = 3888 numbers up to 11688 share no factor with it.
- 4
The digits of 11688 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11688 = 2^{3} \times 3 \times 487 \]11688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29280 |
| Euler totient φ(n) | 3888 |
| Square | 136609344 |
| Cube | 1596690012672 |
| Square root | 108.111054 (= 2√2922) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.1688 × |
11688 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and eighty-eight |
| Binary (base 2) | 10110110101000 |
| Octal (base 8) | 26650 |
| Hexadecimal (base 16) | 2DA8 |
| Base 3 | 121000220 |
| As time | 11688 seconds = 3 h 14 min 48 s |
Is 11688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11688 ÷ 2 = 5844) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11688 ÷ 3 = 3896) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11688 ÷ 4 = 2922) | 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 (11688 ÷ 6 = 1948) | 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 (11688 ÷ 8 = 1461) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11688 ÷ 12 = 974) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11688 a prime number?
No. 11688 = × 3 × 487, so it is divisible by 2.
What are the factors of 11688?
1, 2, 3, 4, 6, 8, 12, 24, 487, 974, 1461, 1948, 2922, 3896, 5844, 11688.
What is 11688 in binary?
10110110101000 (hexadecimal 2DA8, octal 26650).
What is the square root of 11688?
About 108.1111, exactly 2√2922.
Is 11688 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 11688?
11688 is a Harshad number: divisible by its digit sum 24.