The number 11196
11196 is a composite number with 18 divisors. Its prime factorisation is × × 311. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 311, 622, 933, 1244, 1866, 2799, 3732 … 11196.
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How to work it out
- 1
What is special about 11196: a Harshad number: divisible by its digit sum 18.
- 2
11196 is composite. Its prime factorisation is
- 3
The divisors add up to 28392; without 11196 itself that is 17196, so 11196 is abundant (17196 is more than 11196). Euler's totient φ(11196) = 3720 numbers up to 11196 share no factor with it.
- 4
The digits of 11196 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11196 = 2^{2} \times 3^{2} \times 311 \]11196 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 28392 |
| Euler totient φ(n) | 3720 |
| Square | 125350416 |
| Cube | 1403423257536 |
| Square root | 105.811153 (= 6√311) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1196 × |
11196 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and ninety-six |
| Binary (base 2) | 10101110111100 |
| Octal (base 8) | 25674 |
| Hexadecimal (base 16) | 2BBC |
| Base 3 | 120100200 |
| As time | 11196 seconds = 3 h 6 min 36 s |
Is 11196 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11196 ÷ 2 = 5598) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11196 ÷ 3 = 3732) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11196 ÷ 4 = 2799) | 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 (11196 ÷ 6 = 1866) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11196 ÷ 9 = 1244) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11196 ÷ 12 = 933) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11196 a prime number?
No. 11196 = × × 311, so it is divisible by 2.
What are the factors of 11196?
1, 2, 3, 4, 6, 9, 12, 18, 36, 311, 622, 933, 1244, 1866, 2799, 3732, 5598, 11196.
What is 11196 in binary?
10101110111100 (hexadecimal 2BBC, octal 25674).
What is the square root of 11196?
About 105.8112, exactly 6√311.
Is 11196 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11196?
11196 is a Harshad number: divisible by its digit sum 18.