The number 11988
11988 is a composite number with 30 divisors. Its prime factorisation is × × 37. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 81, 108, 111 … 11988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11988: a Harshad number: divisible by its digit sum 27.
- 2
11988 is composite. Its prime factorisation is
- 3
The divisors add up to 32186; without 11988 itself that is 20198, so 11988 is abundant (20198 is more than 11988). Euler's totient φ(11988) = 3888 numbers up to 11988 share no factor with it.
- 4
The digits of 11988 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11988 = 2^{2} \times 3^{4} \times 37 \]11988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 32186 |
| Euler totient φ(n) | 3888 |
| Square | 143712144 |
| Cube | 1722821182272 |
| Square root | 109.489726 (= 18√37) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1988 × |
11988 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and eighty-eight |
| Binary (base 2) | 10111011010100 |
| Octal (base 8) | 27324 |
| Hexadecimal (base 16) | 2ED4 |
| Base 3 | 121110000 |
| As time | 11988 seconds = 3 h 19 min 48 s |
Is 11988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11988 ÷ 2 = 5994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11988 ÷ 3 = 3996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11988 ÷ 4 = 2997) | 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 (11988 ÷ 6 = 1998) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (11988 ÷ 9 = 1332) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11988 ÷ 12 = 999) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11988 a prime number?
No. 11988 = × × 37, so it is divisible by 2.
What are the factors of 11988?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 81, 108, 111, 148, 162, 222, 324, 333, 444, 666, 999, 1332, 1998, 2997, 3996, 5994, 11988.
What is 11988 in binary?
10111011010100 (hexadecimal 2ED4, octal 27324).
What is the square root of 11988?
About 109.4897, exactly 18√37.
Is 11988 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 11988?
11988 is a Harshad number: divisible by its digit sum 27.