The number 11682
11682 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 59. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 59, 66, 99, 118, 177, 198, 354 … 11682.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11682: a Harshad number: divisible by its digit sum 18.
- 2
11682 is composite. Its prime factorisation is
- 3
The divisors add up to 28080; without 11682 itself that is 16398, so 11682 is abundant (16398 is more than 11682). Euler's totient φ(11682) = 3480 numbers up to 11682 share no factor with it.
- 4
The digits of 11682 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11682 = 2 \times 3^{2} \times 11 \times 59 \]11682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 28080 |
| Euler totient φ(n) | 3480 |
| Square | 136469124 |
| Cube | 1594232306568 |
| Square root | 108.083301 (= 3√1298) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1682 × |
11682 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and eighty-two |
| Binary (base 2) | 10110110100010 |
| Octal (base 8) | 26642 |
| Hexadecimal (base 16) | 2DA2 |
| Base 3 | 121000200 |
| As time | 11682 seconds = 3 h 14 min 42 s |
Is 11682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11682 ÷ 2 = 5841) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11682 ÷ 3 = 3894) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11682 ÷ 6 = 1947) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11682 ÷ 9 = 1298) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11682 ÷ 11 = 1062) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11682 a prime number?
No. 11682 = 2 × × 11 × 59, so it is divisible by 2.
What are the factors of 11682?
1, 2, 3, 6, 9, 11, 18, 22, 33, 59, 66, 99, 118, 177, 198, 354, 531, 649, 1062, 1298, 1947, 3894, 5841, 11682.
What is 11682 in binary?
10110110100010 (hexadecimal 2DA2, octal 26642).
What is the square root of 11682?
About 108.0833, exactly 3√1298.
Is 11682 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11682?
11682 is a Harshad number: divisible by its digit sum 18.