The number 42244
42244 is a composite number with 12 divisors. Its prime factorisation is × 59 × 179. Divisors (12): 1, 2, 4, 59, 118, 179, 236, 358, 716, 10561, 21122, 42244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42244 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42244 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 42244 itself that is 33356, so 42244 is deficient (33356 is less than 42244). Euler's totient φ(42244) = 20648 numbers up to 42244 share no factor with it.
- 4
The digits of 42244 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42244 = 2^{2} \times 59 \times 179 \]42244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 20648 |
| Square | 1784555536 |
| Cube | 75386764062784 |
| Square root | 205.533452 (= 2√10561) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2244 × |
42244 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and forty-four |
| Binary (base 2) | 1010010100000100 |
| Octal (base 8) | 122404 |
| Hexadecimal (base 16) | A504 |
| Base 3 | 2010221121 |
| As time | 42244 seconds = 11 h 44 min 4 s |
Is 42244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42244 ÷ 2 = 21122) | 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 (42244 ÷ 4 = 10561) | 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 6) | 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 7) | 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 4) | 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 42244 a prime number?
No. 42244 = × 59 × 179, so it is divisible by 2.
What are the factors of 42244?
1, 2, 4, 59, 118, 179, 236, 358, 716, 10561, 21122, 42244.
What is 42244 in binary?
1010010100000100 (hexadecimal A504, octal 122404).
What is the square root of 42244?
About 205.5335, exactly 2√10561.
Is 42244 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42244?
It is a composite number with 12 divisors.