The number 11788
11788 is a composite number with 12 divisors. Its prime factorisation is × 7 × 421. Divisors (12): 1, 2, 4, 7, 14, 28, 421, 842, 1684, 2947, 5894, 11788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11788 is composite. Its prime factorisation is
- 3
The divisors add up to 23632; without 11788 itself that is 11844, so 11788 is abundant (11844 is more than 11788). Euler's totient φ(11788) = 5040 numbers up to 11788 share no factor with it.
- 4
The digits of 11788 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11788 = 2^{2} \times 7 \times 421 \]11788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23632 |
| Euler totient φ(n) | 5040 |
| Square | 138956944 |
| Cube | 1638024455872 |
| Square root | 108.572556 (= 2√2947) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.1788 × |
11788 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and eighty-eight |
| Binary (base 2) | 10111000001100 |
| Octal (base 8) | 27014 |
| Hexadecimal (base 16) | 2E0C |
| Base 3 | 121011121 |
| As time | 11788 seconds = 3 h 16 min 28 s |
Is 11788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11788 ÷ 2 = 5894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11788 ÷ 4 = 2947) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11788 ÷ 7 = 1684) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11788 a prime number?
No. 11788 = × 7 × 421, so it is divisible by 2.
What are the factors of 11788?
1, 2, 4, 7, 14, 28, 421, 842, 1684, 2947, 5894, 11788.
What is 11788 in binary?
10111000001100 (hexadecimal 2E0C, octal 27014).
What is the square root of 11788?
About 108.5726, exactly 2√2947.
Is 11788 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 11788?
It is a composite number with 12 divisors.