The number 11616
11616 is a composite number with 36 divisors. Its prime factorisation is × 3 × . Divisors (36): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66 … 11616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11616 is composite. Its prime factorisation is
- 3
The divisors add up to 33516; without 11616 itself that is 21900, so 11616 is abundant (21900 is more than 11616). Euler's totient φ(11616) = 3520 numbers up to 11616 share no factor with it.
- 4
The digits of 11616 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11616 = 2^{5} \times 3 \times 11^{2} \]11616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 33516 |
| Euler totient φ(n) | 3520 |
| Square | 134931456 |
| Cube | 1567363792896 |
| Square root | 107.777549 (= 44√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1616 × |
11616 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and sixteen |
| Binary (base 2) | 10110101100000 |
| Octal (base 8) | 26540 |
| Hexadecimal (base 16) | 2D60 |
| Base 3 | 120221020 |
| As time | 11616 seconds = 3 h 13 min 36 s |
Is 11616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11616 ÷ 2 = 5808) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11616 ÷ 3 = 3872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11616 ÷ 4 = 2904) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11616 ÷ 6 = 1936) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (11616 ÷ 8 = 1452) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11616 ÷ 11 = 1056) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11616 ÷ 12 = 968) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11616 a prime number?
No. 11616 = × 3 × , so it is divisible by 2.
What are the factors of 11616?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 121, 132, 176, 242, 264, 352, 363, 484, 528, 726, 968, 1056, 1452, 1936, 2904, 3872, 5808, 11616.
What is 11616 in binary?
10110101100000 (hexadecimal 2D60, octal 26540).
What is the square root of 11616?
About 107.7775, exactly 44√6.
Is 11616 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11616?
It is a composite number with 36 divisors.