The number 42428
42428 is a composite number with 6 divisors. Its prime factorisation is × 10607. Divisors (6): 1, 2, 4, 10607, 21214, 42428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42428 is composite. Its prime factorisation is
- 3
The divisors add up to 74256; without 42428 itself that is 31828, so 42428 is deficient (31828 is less than 42428). Euler's totient φ(42428) = 21212 numbers up to 42428 share no factor with it.
- 4
The digits of 42428 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42428 = 2^{2} \times 10607 \]42428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74256 |
| Euler totient φ(n) | 21212 |
| Square | 1800135184 |
| Cube | 76376135586752 |
| Square root | 205.980582 (= 2√10607) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2428 × |
42428 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and twenty-eight |
| Binary (base 2) | 1010010110111100 |
| Octal (base 8) | 122674 |
| Hexadecimal (base 16) | A5BC |
| Base 3 | 2011012102 |
| As time | 42428 seconds = 11 h 47 min 8 s |
Is 42428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42428 ÷ 2 = 21214) | 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 (42428 ÷ 4 = 10607) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 1) | 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 42428 a prime number?
No. 42428 = × 10607, so it is divisible by 2.
What are the factors of 42428?
1, 2, 4, 10607, 21214, 42428.
What is 42428 in binary?
1010010110111100 (hexadecimal A5BC, octal 122674).
What is the square root of 42428?
About 205.9806, exactly 2√10607.
Is 42428 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42428?
It is a composite number with 6 divisors.