The number 42082
42082 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 397. Divisors (8): 1, 2, 53, 106, 397, 794, 21041, 42082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42082 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42082 is composite. Its prime factorisation is
- 3
The divisors add up to 64476; without 42082 itself that is 22394, so 42082 is deficient (22394 is less than 42082). Euler's totient φ(42082) = 20592 numbers up to 42082 share no factor with it.
- 4
The digits of 42082 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42082 = 2 \times 53 \times 397 \]
42082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64476 |
| Euler totient φ(n) | 20592 |
| Square | 1770894724 |
| Cube | 74522791775368 |
| Square root | 205.138977 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2082 × |
42082 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and eighty-two |
| Binary (base 2) | 1010010001100010 |
| Octal (base 8) | 122142 |
| Hexadecimal (base 16) | A462 |
| Base 3 | 2010201121 |
| As time | 42082 seconds = 11 h 41 min 22 s |
Is 42082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42082 ÷ 2 = 21041) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42082 a prime number?
No. 42082 = 2 × 53 × 397, so it is divisible by 2.
What are the factors of 42082?
1, 2, 53, 106, 397, 794, 21041, 42082.
What is 42082 in binary?
1010010001100010 (hexadecimal A462, octal 122142).
What is the square root of 42082?
About 205.1390.
Is 42082 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42082?
It is a composite number with 8 divisors.