The number 42282
42282 is a composite number with 28 divisors. Its prime factorisation is 2 × × 29. Divisors (28): 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 243, 261 … 42282.
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How to work it out
- 1
What is special about 42282: a Harshad number: divisible by its digit sum 18.
- 2
42282 is composite. Its prime factorisation is
- 3
The divisors add up to 98370; without 42282 itself that is 56088, so 42282 is abundant (56088 is more than 42282). Euler's totient φ(42282) = 13608 numbers up to 42282 share no factor with it.
- 4
The digits of 42282 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42282 = 2 \times 3^{6} \times 29 \]42282 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 98370 |
| Euler totient φ(n) | 13608 |
| Square | 1787767524 |
| Cube | 75590386449768 |
| Square root | 205.625874 (= 27√58) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2282 × |
42282 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and eighty-two |
| Binary (base 2) | 1010010100101010 |
| Octal (base 8) | 122452 |
| Hexadecimal (base 16) | A52A |
| Base 3 | 2011000000 |
| As time | 42282 seconds = 11 h 44 min 42 s |
Is 42282 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42282 ÷ 2 = 21141) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42282 ÷ 3 = 14094) | 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 (42282 ÷ 6 = 7047) | 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 | Yes (42282 ÷ 9 = 4698) | 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 9) | 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 42282 a prime number?
No. 42282 = 2 × × 29, so it is divisible by 2.
What are the factors of 42282?
1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 243, 261, 486, 522, 729, 783, 1458, 1566, 2349, 4698, 7047, 14094, 21141, 42282.
What is 42282 in binary?
1010010100101010 (hexadecimal A52A, octal 122452).
What is the square root of 42282?
About 205.6259, exactly 27√58.
Is 42282 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42282?
42282 is a Harshad number: divisible by its digit sum 18.