The number 82042
82042 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 19 × 127. Divisors (16): 1, 2, 17, 19, 34, 38, 127, 254, 323, 646, 2159, 2413, 4318, 4826, 41021, 82042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82042 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 82042 itself that is 56198, so 82042 is deficient (56198 is less than 82042). Euler's totient φ(82042) = 36288 numbers up to 82042 share no factor with it.
- 4
The digits of 82042 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82042 = 2 \times 17 \times 19 \times 127 \]
82042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 36288 |
| Square | 6730889764 |
| Cube | 552215658018088 |
| Square root | 286.429747 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2042 × |
82042 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and forty-two |
| Binary (base 2) | 10100000001111010 |
| Octal (base 8) | 240172 |
| Hexadecimal (base 16) | 1407A |
| Base 3 | 11011112121 |
| As time | 82042 seconds = 22 h 47 min 22 s |
Is 82042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82042 ÷ 2 = 41021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82042 a prime number?
No. 82042 = 2 × 17 × 19 × 127, so it is divisible by 2.
What are the factors of 82042?
1, 2, 17, 19, 34, 38, 127, 254, 323, 646, 2159, 2413, 4318, 4826, 41021, 82042.
What is 82042 in binary?
10100000001111010 (hexadecimal 1407A, octal 240172).
What is the square root of 82042?
About 286.4297.
Is 82042 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 82042?
It is a composite number with 16 divisors.