The number 42283
42283 is a twin prime (42281 and 42283 are both prime) and the 4420th prime number. Its only divisors are 1 and 42283.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42283: a twin prime (42281 and 42283 are both prime); the 4420th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42283 is prime, so its only factors are 1 and 42283. It is the 4420th prime; the next prime is 42293 and the one before is 42281.
- 3
The divisors add up to 42284; without 42283 itself that is 1, so 42283 is deficient (1 is less than 42283). Euler's totient φ(42283) = 42282 numbers up to 42283 share no factor with it.
- 4
The digits of 42283 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 57 steps to reach 1.
42283 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42284 |
| Euler totient φ(n) | 42282 |
| Square | 1787852089 |
| Cube | 75595749879187 |
| Square root | 205.628305 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2283 × |
42283 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and eighty-three |
| Binary (base 2) | 1010010100101011 |
| Octal (base 8) | 122453 |
| Hexadecimal (base 16) | A52B |
| Base 3 | 2011000001 |
| As time | 42283 seconds = 11 h 44 min 43 s |
Is 42283 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 3) | 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 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 10) | 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 42283 a prime number?
Yes. 42283 is divisible only by 1 and itself.
What are the factors of 42283?
1, 42283.
What is 42283 in binary?
1010010100101011 (hexadecimal A52B, octal 122453).
What is the square root of 42283?
About 205.6283.
Is 42283 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42283?
42283 is a twin prime (42281 and 42283 are both prime); the 4420th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.