The number 42884
42884 is a composite number with 12 divisors. Its prime factorisation is × 71 × 151. Divisors (12): 1, 2, 4, 71, 142, 151, 284, 302, 604, 10721, 21442, 42884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42884 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 42884 itself that is 33724, so 42884 is deficient (33724 is less than 42884). Euler's totient φ(42884) = 21000 numbers up to 42884 share no factor with it.
- 4
The digits of 42884 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42884 = 2^{2} \times 71 \times 151 \]42884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 21000 |
| Square | 1839037456 |
| Cube | 78865282263104 |
| Square root | 207.084524 (= 2√10721) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2884 × |
42884 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and eighty-four |
| Binary (base 2) | 1010011110000100 |
| Octal (base 8) | 123604 |
| Hexadecimal (base 16) | A784 |
| Base 3 | 2011211022 |
| As time | 42884 seconds = 11 h 54 min 44 s |
Is 42884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42884 ÷ 2 = 21442) | 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 (42884 ÷ 4 = 10721) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 6) | 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 42884 a prime number?
No. 42884 = × 71 × 151, so it is divisible by 2.
What are the factors of 42884?
1, 2, 4, 71, 142, 151, 284, 302, 604, 10721, 21442, 42884.
What is 42884 in binary?
1010011110000100 (hexadecimal A784, octal 123604).
What is the square root of 42884?
About 207.0845, exactly 2√10721.
Is 42884 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42884?
It is a composite number with 12 divisors.