The number 42844
42844 is a composite number with 6 divisors. Its prime factorisation is × 10711. Divisors (6): 1, 2, 4, 10711, 21422, 42844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42844 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42844 is composite. Its prime factorisation is
- 3
The divisors add up to 74984; without 42844 itself that is 32140, so 42844 is deficient (32140 is less than 42844). Euler's totient φ(42844) = 21420 numbers up to 42844 share no factor with it.
- 4
The digits of 42844 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42844 = 2^{2} \times 10711 \]42844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74984 |
| Euler totient φ(n) | 21420 |
| Square | 1835608336 |
| Cube | 78644803547584 |
| Square root | 206.987922 (= 2√10711) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2844 × |
42844 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and forty-four |
| Binary (base 2) | 1010011101011100 |
| Octal (base 8) | 123534 |
| Hexadecimal (base 16) | A75C |
| Base 3 | 2011202211 |
| As time | 42844 seconds = 11 h 54 min 4 s |
Is 42844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42844 ÷ 2 = 21422) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42844 ÷ 4 = 10711) | 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 4) | 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 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42844 a prime number?
No. 42844 = × 10711, so it is divisible by 2.
What are the factors of 42844?
1, 2, 4, 10711, 21422, 42844.
What is 42844 in binary?
1010011101011100 (hexadecimal A75C, octal 123534).
What is the square root of 42844?
About 206.9879, exactly 2√10711.
Is 42844 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42844?
It is a composite number with 6 divisors.