The number 42463
42463 is a twin prime (42461 and 42463 are both prime) and the 4442nd prime number. Its only divisors are 1 and 42463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42463: a twin prime (42461 and 42463 are both prime); the 4442nd prime number.
- 2
42463 is prime, so its only factors are 1 and 42463. It is the 4442nd prime; the next prime is 42467 and the one before is 42461.
- 3
The divisors add up to 42464; without 42463 itself that is 1, so 42463 is deficient (1 is less than 42463). Euler's totient φ(42463) = 42462 numbers up to 42463 share no factor with it.
- 4
The digits of 42463 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
42463 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42464 |
| Euler totient φ(n) | 42462 |
| Square | 1803106369 |
| Cube | 76565305746847 |
| Square root | 206.065524 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2463 × |
42463 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty-three |
| Binary (base 2) | 1010010111011111 |
| Octal (base 8) | 122737 |
| Hexadecimal (base 16) | A5DF |
| Base 3 | 2011020201 |
| As time | 42463 seconds = 11 h 47 min 43 s |
Is 42463 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 1) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42463 a prime number?
Yes. 42463 is divisible only by 1 and itself.
What are the factors of 42463?
1, 42463.
What is 42463 in binary?
1010010111011111 (hexadecimal A5DF, octal 122737).
What is the square root of 42463?
About 206.0655.
Is 42463 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42463?
42463 is a twin prime (42461 and 42463 are both prime); the 4442nd prime number.