The number 68042
68042 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2617. Divisors (8): 1, 2, 13, 26, 2617, 5234, 34021, 68042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
68042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68042 is composite. Its prime factorisation is
- 3
The divisors add up to 109956; without 68042 itself that is 41914, so 68042 is deficient (41914 is less than 68042). Euler's totient φ(68042) = 31392 numbers up to 68042 share no factor with it.
- 4
The digits of 68042 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68042 = 2 \times 13 \times 2617 \]
68042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109956 |
| Euler totient φ(n) | 31392 |
| Square | 4629713764 |
| Cube | 315014983930088 |
| Square root | 260.848615 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.8042 × |
68042 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand and forty-two |
| Binary (base 2) | 10000100111001010 |
| Octal (base 8) | 204712 |
| Hexadecimal (base 16) | 109CA |
| Base 3 | 10110100002 |
| As time | 68042 seconds = 18 h 54 min 2 s |
Is 68042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68042 ÷ 2 = 34021) | 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 7) | 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 68042 a prime number?
No. 68042 = 2 × 13 × 2617, so it is divisible by 2.
What are the factors of 68042?
1, 2, 13, 26, 2617, 5234, 34021, 68042.
What is 68042 in binary?
10000100111001010 (hexadecimal 109CA, octal 204712).
What is the square root of 68042?
About 260.8486.
Is 68042 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 68042?
It is a composite number with 8 divisors.