The number 42307
42307 is the 4423rd prime number. Its only divisors are 1 and 42307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42307: the 4423rd prime number.
- 2
42307 is prime, so its only factors are 1 and 42307. It is the 4423rd prime; the next prime is 42323 and the one before is 42299.
- 3
The divisors add up to 42308; without 42307 itself that is 1, so 42307 is deficient (1 is less than 42307). Euler's totient φ(42307) = 42306 numbers up to 42307 share no factor with it.
- 4
The digits of 42307 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
42307 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42308 |
| Euler totient φ(n) | 42306 |
| Square | 1789882249 |
| Cube | 75724548308443 |
| Square root | 205.686655 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2307 × |
42307 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seven |
| Binary (base 2) | 1010010101000011 |
| Octal (base 8) | 122503 |
| Hexadecimal (base 16) | A543 |
| Base 3 | 2011000221 |
| As time | 42307 seconds = 11 h 45 min 7 s |
Is 42307 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 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 42307 a prime number?
Yes. 42307 is divisible only by 1 and itself.
What are the factors of 42307?
1, 42307.
What is 42307 in binary?
1010010101000011 (hexadecimal A543, octal 122503).
What is the square root of 42307?
About 205.6867.
Is 42307 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42307?
42307 is the 4423rd prime number.