The number 42882
42882 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1021. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1021, 2042, 3063, 6126, 7147, 14294, 21441, 42882.
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How to work it out
- 1
42882 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42882 is composite. Its prime factorisation is
- 3
The divisors add up to 98112; without 42882 itself that is 55230, so 42882 is abundant (55230 is more than 42882). Euler's totient φ(42882) = 12240 numbers up to 42882 share no factor with it.
- 4
The digits of 42882 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42882 = 2 \times 3 \times 7 \times 1021 \]
42882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98112 |
| Euler totient φ(n) | 12240 |
| Square | 1838865924 |
| Cube | 78854248552968 |
| Square root | 207.079695 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2882 × |
42882 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and eighty-two |
| Binary (base 2) | 1010011110000010 |
| Octal (base 8) | 123602 |
| Hexadecimal (base 16) | A782 |
| Base 3 | 2011211020 |
| As time | 42882 seconds = 11 h 54 min 42 s |
Is 42882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42882 ÷ 2 = 21441) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42882 ÷ 3 = 14294) | 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 (42882 ÷ 6 = 7147) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42882 ÷ 7 = 6126) | 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 4) | 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 42882 a prime number?
No. 42882 = 2 × 3 × 7 × 1021, so it is divisible by 2.
What are the factors of 42882?
1, 2, 3, 6, 7, 14, 21, 42, 1021, 2042, 3063, 6126, 7147, 14294, 21441, 42882.
What is 42882 in binary?
1010011110000010 (hexadecimal A782, octal 123602).
What is the square root of 42882?
About 207.0797.
Is 42882 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42882?
It is a composite number with 16 divisors.