The number 42426
42426 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2357. Divisors (12): 1, 2, 3, 6, 9, 18, 2357, 4714, 7071, 14142, 21213, 42426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42426: a Harshad number: divisible by its digit sum 18.
- 2
42426 is composite. Its prime factorisation is
- 3
The divisors add up to 91962; without 42426 itself that is 49536, so 42426 is abundant (49536 is more than 42426). Euler's totient φ(42426) = 14136 numbers up to 42426 share no factor with it.
- 4
The digits of 42426 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42426 = 2 \times 3^{2} \times 2357 \]42426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91962 |
| Euler totient φ(n) | 14136 |
| Square | 1799965476 |
| Cube | 76365335284776 |
| Square root | 205.975727 (= 3√4714) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2426 × |
42426 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and twenty-six |
| Binary (base 2) | 1010010110111010 |
| Octal (base 8) | 122672 |
| Hexadecimal (base 16) | A5BA |
| Base 3 | 2011012100 |
| As time | 42426 seconds = 11 h 47 min 6 s |
Is 42426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42426 ÷ 2 = 21213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42426 ÷ 3 = 14142) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42426 ÷ 6 = 7071) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42426 ÷ 9 = 4714) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42426 a prime number?
No. 42426 = 2 × × 2357, so it is divisible by 2.
What are the factors of 42426?
1, 2, 3, 6, 9, 18, 2357, 4714, 7071, 14142, 21213, 42426.
What is 42426 in binary?
1010010110111010 (hexadecimal A5BA, octal 122672).
What is the square root of 42426?
About 205.9757, exactly 3√4714.
Is 42426 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42426?
42426 is a Harshad number: divisible by its digit sum 18.