The number 42223
42223 is a twin prime (42221 and 42223 are both prime) and the 4415th prime number. Its only divisors are 1 and 42223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42223: a twin prime (42221 and 42223 are both prime); the 4415th prime number.
- 2
42223 is prime, so its only factors are 1 and 42223. It is the 4415th prime; the next prime is 42227 and the one before is 42221.
- 3
The divisors add up to 42224; without 42223 itself that is 1, so 42223 is deficient (1 is less than 42223). Euler's totient φ(42223) = 42222 numbers up to 42223 share no factor with it.
- 4
The digits of 42223 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
42223 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42224 |
| Euler totient φ(n) | 42222 |
| Square | 1782781729 |
| Cube | 75274392943567 |
| Square root | 205.482359 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.2223 × |
42223 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty-three |
| Binary (base 2) | 1010010011101111 |
| Octal (base 8) | 122357 |
| Hexadecimal (base 16) | A4EF |
| Base 3 | 2010220211 |
| As time | 42223 seconds = 11 h 43 min 43 s |
Is 42223 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42223 a prime number?
Yes. 42223 is divisible only by 1 and itself.
What are the factors of 42223?
1, 42223.
What is 42223 in binary?
1010010011101111 (hexadecimal A4EF, octal 122357).
What is the square root of 42223?
About 205.4824.
Is 42223 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42223?
42223 is a twin prime (42221 and 42223 are both prime); the 4415th prime number.