The number 42086
42086 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 1913. Divisors (8): 1, 2, 11, 22, 1913, 3826, 21043, 42086.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42086 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42086 is composite. Its prime factorisation is
- 3
The divisors add up to 68904; without 42086 itself that is 26818, so 42086 is deficient (26818 is less than 42086). Euler's totient φ(42086) = 19120 numbers up to 42086 share no factor with it.
- 4
The digits of 42086 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42086 = 2 \times 11 \times 1913 \]
42086 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68904 |
| Euler totient φ(n) | 19120 |
| Square | 1771231396 |
| Cube | 74544044532056 |
| Square root | 205.148727 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2086 × |
42086 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and eighty-six |
| Binary (base 2) | 1010010001100110 |
| Octal (base 8) | 122146 |
| Hexadecimal (base 16) | A466 |
| Base 3 | 2010201202 |
| As time | 42086 seconds = 11 h 41 min 26 s |
Is 42086 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42086 ÷ 2 = 21043) | 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 1) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42086 ÷ 11 = 3826) | 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 42086 a prime number?
No. 42086 = 2 × 11 × 1913, so it is divisible by 2.
What are the factors of 42086?
1, 2, 11, 22, 1913, 3826, 21043, 42086.
What is 42086 in binary?
1010010001100110 (hexadecimal A466, octal 122146).
What is the square root of 42086?
About 205.1487.
Is 42086 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42086?
It is a composite number with 8 divisors.