The number 10082
10082 is a composite number with 6 divisors. Its prime factorisation is 2 Ć . Divisors (6): 1, 2, 71, 142, 5041, 10082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10082 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10082 is composite. Its prime factorisation is
- 3
The divisors add up to 15339; without 10082 itself that is 5257, so 10082 is deficient (5257 is less than 10082). Euler's totient Ļ(10082) = 4970 numbers up to 10082 share no factor with it.
- 4
The digits of 10082 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10082 = 2 \times 71^{2} \]10082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15339 |
| Euler totient Ļ(n) | 4970 |
| Square | 101646724 |
| Cube | 1024802271368 |
| Square root | 100.409163 (= 71ā2) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0082 Ć |
10082 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and eighty-two |
| Binary (base 2) | 10011101100010 |
| Octal (base 8) | 23542 |
| Hexadecimal (base 16) | 2762 |
| Base 3 | 111211102 |
| As time | 10082 seconds = 2 h 48 min 2 s |
Is 10082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10082 Ć· 2 = 5041) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10082 a prime number?
No. 10082 = 2 Ć , so it is divisible by 2.
What are the factors of 10082?
1, 2, 71, 142, 5041, 10082.
What is 10082 in binary?
10011101100010 (hexadecimal 2762, octal 23542).
What is the square root of 10082?
About 100.4092, exactly 71ā2.
Is 10082 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10082?
It is a composite number with 6 divisors.