The number 11808
11808 is a composite number with 36 divisors. Its prime factorisation is × × 41. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 72 … 11808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11808: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
11808 is composite. Its prime factorisation is
- 3
The divisors add up to 34398; without 11808 itself that is 22590, so 11808 is abundant (22590 is more than 11808). Euler's totient φ(11808) = 3840 numbers up to 11808 share no factor with it.
- 4
The digits of 11808 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 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11808 = 2^{5} \times 3^{2} \times 41 \]11808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 34398 |
| Euler totient φ(n) | 3840 |
| Square | 139428864 |
| Cube | 1646376026112 |
| Square root | 108.664622 (= 12√82) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 24 |
| Scientific notation | 1.1808 × |
11808 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and eight |
| Binary (base 2) | 10111000100000 |
| Octal (base 8) | 27040 |
| Hexadecimal (base 16) | 2E20 |
| Base 3 | 121012100 |
| As time | 11808 seconds = 3 h 16 min 48 s |
Is 11808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11808 ÷ 2 = 5904) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11808 ÷ 3 = 3936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11808 ÷ 4 = 2952) | 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 (11808 ÷ 6 = 1968) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (11808 ÷ 8 = 1476) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11808 ÷ 9 = 1312) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11808 ÷ 12 = 984) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11808 a prime number?
No. 11808 = × × 41, so it is divisible by 2.
What are the factors of 11808?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 72, 82, 96, 123, 144, 164, 246, 288, 328, 369, 492, 656, 738, 984, 1312, 1476, 1968, 2952, 3936, 5904, 11808.
What is 11808 in binary?
10111000100000 (hexadecimal 2E20, octal 27040).
What is the square root of 11808?
About 108.6646, exactly 12√82.
Is 11808 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11808?
11808 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.