The number 42443
42443 is the 4438th prime number. Its only divisors are 1 and 42443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42443: the 4438th prime number.
- 2
42443 is prime, so its only factors are 1 and 42443. It is the 4438th prime; the next prime is 42451 and the one before is 42437.
- 3
The divisors add up to 42444; without 42443 itself that is 1, so 42443 is deficient (1 is less than 42443). Euler's totient φ(42443) = 42442 numbers up to 42443 share no factor with it.
- 4
The digits of 42443 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 150 steps to reach 1.
42443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42444 |
| Euler totient φ(n) | 42442 |
| Square | 1801408249 |
| Cube | 76457170312307 |
| Square root | 206.016990 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2443 × |
42443 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and forty-three |
| Binary (base 2) | 1010010111001011 |
| Octal (base 8) | 122713 |
| Hexadecimal (base 16) | A5CB |
| Base 3 | 2011012222 |
| As time | 42443 seconds = 11 h 47 min 23 s |
Is 42443 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 5) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42443 a prime number?
Yes. 42443 is divisible only by 1 and itself.
What are the factors of 42443?
1, 42443.
What is 42443 in binary?
1010010111001011 (hexadecimal A5CB, octal 122713).
What is the square root of 42443?
About 206.0170.
Is 42443 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42443?
42443 is the 4438th prime number.