The number 11736
11736 is a composite number with 24 divisors. Its prime factorisation is × × 163. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 163, 326, 489, 652 … 11736.
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How to work it out
- 1
What is special about 11736: a Harshad number: divisible by its digit sum 18.
- 2
11736 is composite. Its prime factorisation is
- 3
The divisors add up to 31980; without 11736 itself that is 20244, so 11736 is abundant (20244 is more than 11736). Euler's totient φ(11736) = 3888 numbers up to 11736 share no factor with it.
- 4
The digits of 11736 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11736 = 2^{3} \times 3^{2} \times 163 \]11736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31980 |
| Euler totient φ(n) | 3888 |
| Square | 137733696 |
| Cube | 1616442656256 |
| Square root | 108.332821 (= 6√326) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.1736 × |
11736 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and thirty-six |
| Binary (base 2) | 10110111011000 |
| Octal (base 8) | 26730 |
| Hexadecimal (base 16) | 2DD8 |
| Base 3 | 121002200 |
| As time | 11736 seconds = 3 h 15 min 36 s |
Is 11736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11736 ÷ 2 = 5868) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11736 ÷ 3 = 3912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11736 ÷ 4 = 2934) | 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 (11736 ÷ 6 = 1956) | 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 | Yes (11736 ÷ 8 = 1467) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11736 ÷ 9 = 1304) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11736 ÷ 12 = 978) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11736 a prime number?
No. 11736 = × × 163, so it is divisible by 2.
What are the factors of 11736?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 163, 326, 489, 652, 978, 1304, 1467, 1956, 2934, 3912, 5868, 11736.
What is 11736 in binary?
10110111011000 (hexadecimal 2DD8, octal 26730).
What is the square root of 11736?
About 108.3328, exactly 6√326.
Is 11736 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11736?
11736 is a Harshad number: divisible by its digit sum 18.