The number 82142
82142 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 613. Divisors (8): 1, 2, 67, 134, 613, 1226, 41071, 82142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82142 is composite. Its prime factorisation is
- 3
The divisors add up to 125256; without 82142 itself that is 43114, so 82142 is deficient (43114 is less than 82142). Euler's totient φ(82142) = 40392 numbers up to 82142 share no factor with it.
- 4
The digits of 82142 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82142 = 2 \times 67 \times 613 \]
82142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 125256 |
| Euler totient φ(n) | 40392 |
| Square | 6747308164 |
| Cube | 554237387207288 |
| Square root | 286.604257 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.2142 × |
82142 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and forty-two |
| Binary (base 2) | 10100000011011110 |
| Octal (base 8) | 240336 |
| Hexadecimal (base 16) | 140DE |
| Base 3 | 11011200022 |
| As time | 82142 seconds = 22 h 49 min 2 s |
Is 82142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82142 ÷ 2 = 41071) | 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 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 8) | 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 5) | 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 82142 a prime number?
No. 82142 = 2 × 67 × 613, so it is divisible by 2.
What are the factors of 82142?
1, 2, 67, 134, 613, 1226, 41071, 82142.
What is 82142 in binary?
10100000011011110 (hexadecimal 140DE, octal 240336).
What is the square root of 82142?
About 286.6043.
Is 82142 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 82142?
It is a composite number with 8 divisors.