The number 42863
42863 is the 4483rd prime number. Its only divisors are 1 and 42863.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42863: the 4483rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42863 is prime, so its only factors are 1 and 42863. It is the 4483rd prime; the next prime is 42899 and the one before is 42859.
- 3
The divisors add up to 42864; without 42863 itself that is 1, so 42863 is deficient (1 is less than 42863). Euler's totient φ(42863) = 42862 numbers up to 42863 share no factor with it.
- 4
The digits of 42863 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
42863 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42864 |
| Euler totient φ(n) | 42862 |
| Square | 1837236769 |
| Cube | 78749479629647 |
| Square root | 207.033814 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2863 × |
42863 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and sixty-three |
| Binary (base 2) | 1010011101101111 |
| Octal (base 8) | 123557 |
| Hexadecimal (base 16) | A76F |
| Base 3 | 2011210112 |
| As time | 42863 seconds = 11 h 54 min 23 s |
Is 42863 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 42863 a prime number?
Yes. 42863 is divisible only by 1 and itself.
What are the factors of 42863?
1, 42863.
What is 42863 in binary?
1010011101101111 (hexadecimal A76F, octal 123557).
What is the square root of 42863?
About 207.0338.
Is 42863 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42863?
42863 is the 4483rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.