The number 42331
42331 is the 4425th prime number. Its only divisors are 1 and 42331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42331: the 4425th prime number.
- 2
42331 is prime, so its only factors are 1 and 42331. It is the 4425th prime; the next prime is 42337 and the one before is 42323.
- 3
The divisors add up to 42332; without 42331 itself that is 1, so 42331 is deficient (1 is less than 42331). Euler's totient φ(42331) = 42330 numbers up to 42331 share no factor with it.
- 4
The digits of 42331 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 57 steps to reach 1.
42331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42332 |
| Euler totient φ(n) | 42330 |
| Square | 1791913561 |
| Cube | 75853492950691 |
| Square root | 205.744988 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2331 × |
42331 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and thirty-one |
| Binary (base 2) | 1010010101011011 |
| Octal (base 8) | 122533 |
| Hexadecimal (base 16) | A55B |
| Base 3 | 2011001211 |
| As time | 42331 seconds = 11 h 45 min 31 s |
Is 42331 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 1) | 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 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 3) | 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 1) | 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 42331 a prime number?
Yes. 42331 is divisible only by 1 and itself.
What are the factors of 42331?
1, 42331.
What is 42331 in binary?
1010010101011011 (hexadecimal A55B, octal 122533).
What is the square root of 42331?
About 205.7450.
Is 42331 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42331?
42331 is the 4425th prime number.