The number 82842
82842 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 13807. Divisors (8): 1, 2, 3, 6, 13807, 27614, 41421, 82842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82842 is composite. Its prime factorisation is
- 3
The divisors add up to 165696; without 82842 itself that is 82854, so 82842 is abundant (82854 is more than 82842). Euler's totient φ(82842) = 27612 numbers up to 82842 share no factor with it.
- 4
The digits of 82842 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82842 = 2 \times 3 \times 13807 \]
82842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 165696 |
| Euler totient φ(n) | 27612 |
| Square | 6862796964 |
| Cube | 568527826091688 |
| Square root | 287.822862 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2842 × |
82842 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and forty-two |
| Binary (base 2) | 10100001110011010 |
| Octal (base 8) | 241632 |
| Hexadecimal (base 16) | 1439A |
| Base 3 | 11012122020 |
| As time | 82842 seconds = 23 h 0 min 42 s |
Is 82842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82842 ÷ 2 = 41421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82842 ÷ 3 = 27614) | 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 (82842 ÷ 6 = 13807) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | 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 82842 a prime number?
No. 82842 = 2 × 3 × 13807, so it is divisible by 2.
What are the factors of 82842?
1, 2, 3, 6, 13807, 27614, 41421, 82842.
What is 82842 in binary?
10100001110011010 (hexadecimal 1439A, octal 241632).
What is the square root of 82842?
About 287.8229.
Is 82842 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 82842?
It is a composite number with 8 divisors.