The number 38682
38682 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 307. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 307, 614, 921, 1842 … 38682.
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How to work it out
- 1
38682 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38682 is composite. Its prime factorisation is
- 3
The divisors add up to 96096; without 38682 itself that is 57414, so 38682 is abundant (57414 is more than 38682). Euler's totient φ(38682) = 11016 numbers up to 38682 share no factor with it.
- 4
The digits of 38682 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38682 = 2 \times 3^{2} \times 7 \times 307 \]38682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96096 |
| Euler totient φ(n) | 11016 |
| Square | 1496297124 |
| Cube | 57879765350568 |
| Square root | 196.677401 (= 3√4298) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.8682 × |
38682 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and eighty-two |
| Binary (base 2) | 1001011100011010 |
| Octal (base 8) | 113432 |
| Hexadecimal (base 16) | 971A |
| Base 3 | 1222001200 |
| As time | 38682 seconds = 10 h 44 min 42 s |
Is 38682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38682 ÷ 2 = 19341) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38682 ÷ 3 = 12894) | 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 (38682 ÷ 6 = 6447) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38682 ÷ 7 = 5526) | 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 (38682 ÷ 9 = 4298) | 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 | No (remainder 6) | 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 38682 a prime number?
No. 38682 = 2 × × 7 × 307, so it is divisible by 2.
What are the factors of 38682?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 307, 614, 921, 1842, 2149, 2763, 4298, 5526, 6447, 12894, 19341, 38682.
What is 38682 in binary?
1001011100011010 (hexadecimal 971A, octal 113432).
What is the square root of 38682?
About 196.6774, exactly 3√4298.
Is 38682 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38682?
It is a composite number with 24 divisors.