The number 68142
68142 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 277. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 246, 277, 554, 831, 1662, 11357, 22714, 34071, 68142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
68142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68142 is composite. Its prime factorisation is
- 3
The divisors add up to 140112; without 68142 itself that is 71970, so 68142 is abundant (71970 is more than 68142). Euler's totient φ(68142) = 22080 numbers up to 68142 share no factor with it.
- 4
The digits of 68142 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68142 = 2 \times 3 \times 41 \times 277 \]
68142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 140112 |
| Euler totient φ(n) | 22080 |
| Square | 4643332164 |
| Cube | 316405940319288 |
| Square root | 261.040227 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.8142 × |
68142 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand one hundred and forty-two |
| Binary (base 2) | 10000101000101110 |
| Octal (base 8) | 205056 |
| Hexadecimal (base 16) | 10A2E |
| Base 3 | 10110110210 |
| As time | 68142 seconds = 18 h 55 min 42 s |
Is 68142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68142 ÷ 2 = 34071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68142 ÷ 3 = 22714) | 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 | Yes (68142 ÷ 6 = 11357) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 68142 a prime number?
No. 68142 = 2 × 3 × 41 × 277, so it is divisible by 2.
What are the factors of 68142?
1, 2, 3, 6, 41, 82, 123, 246, 277, 554, 831, 1662, 11357, 22714, 34071, 68142.
What is 68142 in binary?
10000101000101110 (hexadecimal 10A2E, octal 205056).
What is the square root of 68142?
About 261.0402.
Is 68142 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 68142?
It is a composite number with 16 divisors.