The number 82242
82242 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1523. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1523, 3046, 4569, 9138, 13707, 27414, 41121, 82242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82242: a Harshad number: divisible by its digit sum 18.
- 2
82242 is composite. Its prime factorisation is
- 3
The divisors add up to 182880; without 82242 itself that is 100638, so 82242 is abundant (100638 is more than 82242). Euler's totient φ(82242) = 27396 numbers up to 82242 share no factor with it.
- 4
The digits of 82242 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82242 = 2 \times 3^{3} \times 1523 \]82242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 182880 |
| Euler totient φ(n) | 27396 |
| Square | 6763746564 |
| Cube | 556264044916488 |
| Square root | 286.778660 (= 3√9138) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.2242 × |
82242 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand two hundred and forty-two |
| Binary (base 2) | 10100000101000010 |
| Octal (base 8) | 240502 |
| Hexadecimal (base 16) | 14142 |
| Base 3 | 11011211000 |
| As time | 82242 seconds = 22 h 50 min 42 s |
Is 82242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82242 ÷ 2 = 41121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82242 ÷ 3 = 27414) | 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 (82242 ÷ 6 = 13707) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (82242 ÷ 9 = 9138) | 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 6) | 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 82242 a prime number?
No. 82242 = 2 × × 1523, so it is divisible by 2.
What are the factors of 82242?
1, 2, 3, 6, 9, 18, 27, 54, 1523, 3046, 4569, 9138, 13707, 27414, 41121, 82242.
What is 82242 in binary?
10100000101000010 (hexadecimal 14142, octal 240502).
What is the square root of 82242?
About 286.7787, exactly 3√9138.
Is 82242 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 82242?
82242 is a Harshad number: divisible by its digit sum 18.