The number 42268
42268 is a composite number with 6 divisors. Its prime factorisation is × 10567. Divisors (6): 1, 2, 4, 10567, 21134, 42268.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42268 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42268 is composite. Its prime factorisation is
- 3
The divisors add up to 73976; without 42268 itself that is 31708, so 42268 is deficient (31708 is less than 42268). Euler's totient φ(42268) = 21132 numbers up to 42268 share no factor with it.
- 4
The digits of 42268 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42268 = 2^{2} \times 10567 \]42268 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 73976 |
| Euler totient φ(n) | 21132 |
| Square | 1786583824 |
| Cube | 75515325072832 |
| Square root | 205.591829 (= 2√10567) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.2268 × |
42268 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and sixty-eight |
| Binary (base 2) | 1010010100011100 |
| Octal (base 8) | 122434 |
| Hexadecimal (base 16) | A51C |
| Base 3 | 2010222111 |
| As time | 42268 seconds = 11 h 44 min 28 s |
Is 42268 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42268 ÷ 2 = 21134) | 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 (42268 ÷ 4 = 10567) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42268 a prime number?
No. 42268 = × 10567, so it is divisible by 2.
What are the factors of 42268?
1, 2, 4, 10567, 21134, 42268.
What is 42268 in binary?
1010010100011100 (hexadecimal A51C, octal 122434).
What is the square root of 42268?
About 205.5918, exactly 2√10567.
Is 42268 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42268?
It is a composite number with 6 divisors.