The number 42284
42284 is a composite number with 18 divisors. Its prime factorisation is × 11 × . Divisors (18): 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 961, 1364, 1922, 3844, 10571 … 42284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42284 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42284 is composite. Its prime factorisation is
- 3
The divisors add up to 83412; without 42284 itself that is 41128, so 42284 is deficient (41128 is less than 42284). Euler's totient φ(42284) = 18600 numbers up to 42284 share no factor with it.
- 4
The digits of 42284 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42284 = 2^{2} \times 11 \times 31^{2} \]42284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 83412 |
| Euler totient φ(n) | 18600 |
| Square | 1787936656 |
| Cube | 75601113562304 |
| Square root | 205.630737 (= 62√11) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2284 × |
42284 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and eighty-four |
| Binary (base 2) | 1010010100101100 |
| Octal (base 8) | 122454 |
| Hexadecimal (base 16) | A52C |
| Base 3 | 2011000002 |
| As time | 42284 seconds = 11 h 44 min 44 s |
Is 42284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42284 ÷ 2 = 21142) | 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 | Yes (42284 ÷ 4 = 10571) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42284 ÷ 11 = 3844) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42284 a prime number?
No. 42284 = × 11 × , so it is divisible by 2.
What are the factors of 42284?
1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 961, 1364, 1922, 3844, 10571, 21142, 42284.
What is 42284 in binary?
1010010100101100 (hexadecimal A52C, octal 122454).
What is the square root of 42284?
About 205.6307, exactly 62√11.
Is 42284 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42284?
It is a composite number with 18 divisors.