The number 38082
38082 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 577. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 577, 1154, 1731, 3462, 6347, 12694, 19041, 38082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38082 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38082 is composite. Its prime factorisation is
- 3
The divisors add up to 83232; without 38082 itself that is 45150, so 38082 is abundant (45150 is more than 38082). Euler's totient φ(38082) = 11520 numbers up to 38082 share no factor with it.
- 4
The digits of 38082 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38082 = 2 \times 3 \times 11 \times 577 \]
38082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 83232 |
| Euler totient φ(n) | 11520 |
| Square | 1450238724 |
| Cube | 55227991087368 |
| Square root | 195.146099 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8082 × |
38082 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and eighty-two |
| Binary (base 2) | 1001010011000010 |
| Octal (base 8) | 112302 |
| Hexadecimal (base 16) | 94C2 |
| Base 3 | 1221020110 |
| As time | 38082 seconds = 10 h 34 min 42 s |
Is 38082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38082 ÷ 2 = 19041) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38082 ÷ 3 = 12694) | 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 (38082 ÷ 6 = 6347) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 3) | 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 (38082 ÷ 11 = 3462) | 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 38082 a prime number?
No. 38082 = 2 × 3 × 11 × 577, so it is divisible by 2.
What are the factors of 38082?
1, 2, 3, 6, 11, 22, 33, 66, 577, 1154, 1731, 3462, 6347, 12694, 19041, 38082.
What is 38082 in binary?
1001010011000010 (hexadecimal 94C2, octal 112302).
What is the square root of 38082?
About 195.1461.
Is 38082 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38082?
It is a composite number with 16 divisors.