The number 11984
11984 is a composite number with 20 divisors. Its prime factorisation is × 7 × 107. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 107, 112, 214, 428, 749, 856, 1498 … 11984.
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How to work it out
- 1
11984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11984 is composite. Its prime factorisation is
- 3
The divisors add up to 26784; without 11984 itself that is 14800, so 11984 is abundant (14800 is more than 11984). Euler's totient φ(11984) = 5088 numbers up to 11984 share no factor with it.
- 4
The digits of 11984 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11984 = 2^{4} \times 7 \times 107 \]11984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 26784 |
| Euler totient φ(n) | 5088 |
| Square | 143616256 |
| Cube | 1721097211904 |
| Square root | 109.471457 (= 4√749) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1984 × |
11984 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and eighty-four |
| Binary (base 2) | 10111011010000 |
| Octal (base 8) | 27320 |
| Hexadecimal (base 16) | 2ED0 |
| Base 3 | 121102212 |
| As time | 11984 seconds = 3 h 19 min 44 s |
Is 11984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11984 ÷ 2 = 5992) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11984 ÷ 4 = 2996) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11984 ÷ 7 = 1712) | 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 (11984 ÷ 8 = 1498) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11984 a prime number?
No. 11984 = × 7 × 107, so it is divisible by 2.
What are the factors of 11984?
1, 2, 4, 7, 8, 14, 16, 28, 56, 107, 112, 214, 428, 749, 856, 1498, 1712, 2996, 5992, 11984.
What is 11984 in binary?
10111011010000 (hexadecimal 2ED0, octal 27320).
What is the square root of 11984?
About 109.4715, exactly 4√749.
Is 11984 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 11984?
It is a composite number with 20 divisors.