The number 42068
42068 is a composite number with 12 divisors. Its prime factorisation is × 13 × 809. Divisors (12): 1, 2, 4, 13, 26, 52, 809, 1618, 3236, 10517, 21034, 42068.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42068 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42068 is composite. Its prime factorisation is
- 3
The divisors add up to 79380; without 42068 itself that is 37312, so 42068 is deficient (37312 is less than 42068). Euler's totient φ(42068) = 19392 numbers up to 42068 share no factor with it.
- 4
The digits of 42068 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42068 = 2^{2} \times 13 \times 809 \]42068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79380 |
| Euler totient φ(n) | 19392 |
| Square | 1769716624 |
| Cube | 74448438938432 |
| Square root | 205.104851 (= 2√10517) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2068 × |
42068 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixty-eight |
| Binary (base 2) | 1010010001010100 |
| Octal (base 8) | 122124 |
| Hexadecimal (base 16) | A454 |
| Base 3 | 2010201002 |
| As time | 42068 seconds = 11 h 41 min 8 s |
Is 42068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42068 ÷ 2 = 21034) | 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 | Yes (42068 ÷ 4 = 10517) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42068 a prime number?
No. 42068 = × 13 × 809, so it is divisible by 2.
What are the factors of 42068?
1, 2, 4, 13, 26, 52, 809, 1618, 3236, 10517, 21034, 42068.
What is 42068 in binary?
1010010001010100 (hexadecimal A454, octal 122124).
What is the square root of 42068?
About 205.1049, exactly 2√10517.
Is 42068 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42068?
It is a composite number with 12 divisors.