The number 11968
11968 is a composite number with 28 divisors. Its prime factorisation is × 11 × 17. Divisors (28): 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 64, 68, 88, 136, 176 … 11968.
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How to work it out
- 1
11968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11968 is composite. Its prime factorisation is
- 3
The divisors add up to 27432; without 11968 itself that is 15464, so 11968 is abundant (15464 is more than 11968). Euler's totient φ(11968) = 5120 numbers up to 11968 share no factor with it.
- 4
The digits of 11968 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11968 = 2^{6} \times 11 \times 17 \]11968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 27432 |
| Euler totient φ(n) | 5120 |
| Square | 143233024 |
| Cube | 1714212831232 |
| Square root | 109.398355 (= 8√187) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1968 × |
11968 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and sixty-eight |
| Binary (base 2) | 10111011000000 |
| Octal (base 8) | 27300 |
| Hexadecimal (base 16) | 2EC0 |
| Base 3 | 121102021 |
| As time | 11968 seconds = 3 h 19 min 28 s |
Is 11968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11968 ÷ 2 = 5984) | 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 (11968 ÷ 4 = 2992) | 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 | 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 (11968 ÷ 8 = 1496) | 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 | Yes (11968 ÷ 11 = 1088) | 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 11968 a prime number?
No. 11968 = × 11 × 17, so it is divisible by 2.
What are the factors of 11968?
1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 64, 68, 88, 136, 176, 187, 272, 352, 374, 544, 704, 748, 1088, 1496, 2992, 5984, 11968.
What is 11968 in binary?
10111011000000 (hexadecimal 2EC0, octal 27300).
What is the square root of 11968?
About 109.3984, exactly 8√187.
Is 11968 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 11968?
It is a composite number with 28 divisors.