The number 42044
42044 is a composite number with 12 divisors. Its prime factorisation is × 23 × 457. Divisors (12): 1, 2, 4, 23, 46, 92, 457, 914, 1828, 10511, 21022, 42044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42044 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42044 is composite. Its prime factorisation is
- 3
The divisors add up to 76944; without 42044 itself that is 34900, so 42044 is deficient (34900 is less than 42044). Euler's totient φ(42044) = 20064 numbers up to 42044 share no factor with it.
- 4
The digits of 42044 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42044 = 2^{2} \times 23 \times 457 \]42044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76944 |
| Euler totient φ(n) | 20064 |
| Square | 1767697936 |
| Cube | 74321092021184 |
| Square root | 205.046336 (= 2√10511) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2044 × |
42044 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and forty-four |
| Binary (base 2) | 1010010000111100 |
| Octal (base 8) | 122074 |
| Hexadecimal (base 16) | A43C |
| Base 3 | 2010200012 |
| As time | 42044 seconds = 11 h 40 min 44 s |
Is 42044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42044 ÷ 2 = 21022) | 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 (42044 ÷ 4 = 10511) | 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 5) | 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 2) | 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 42044 a prime number?
No. 42044 = × 23 × 457, so it is divisible by 2.
What are the factors of 42044?
1, 2, 4, 23, 46, 92, 457, 914, 1828, 10511, 21022, 42044.
What is 42044 in binary?
1010010000111100 (hexadecimal A43C, octal 122074).
What is the square root of 42044?
About 205.0463, exactly 2√10511.
Is 42044 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42044?
It is a composite number with 12 divisors.