The number 42434
42434 is a composite number with 12 divisors. Its prime factorisation is 2 × × 433. Divisors (12): 1, 2, 7, 14, 49, 98, 433, 866, 3031, 6062, 21217, 42434.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42434 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42434 is composite. Its prime factorisation is
- 3
The divisors add up to 74214; without 42434 itself that is 31780, so 42434 is deficient (31780 is less than 42434). Euler's totient φ(42434) = 18144 numbers up to 42434 share no factor with it.
- 4
The digits of 42434 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42434 = 2 \times 7^{2} \times 433 \]42434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74214 |
| Euler totient φ(n) | 18144 |
| Square | 1800644356 |
| Cube | 76408542602504 |
| Square root | 205.995146 (= 7√866) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2434 × |
42434 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and thirty-four |
| Binary (base 2) | 1010010111000010 |
| Octal (base 8) | 122702 |
| Hexadecimal (base 16) | A5C2 |
| Base 3 | 2011012122 |
| As time | 42434 seconds = 11 h 47 min 14 s |
Is 42434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42434 ÷ 2 = 21217) | 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 | No (remainder 2) | 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 | Yes (42434 ÷ 7 = 6062) | 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 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42434 a prime number?
No. 42434 = 2 × × 433, so it is divisible by 2.
What are the factors of 42434?
1, 2, 7, 14, 49, 98, 433, 866, 3031, 6062, 21217, 42434.
What is 42434 in binary?
1010010111000010 (hexadecimal A5C2, octal 122702).
What is the square root of 42434?
About 205.9951, exactly 7√866.
Is 42434 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42434?
It is a composite number with 12 divisors.