The number 42323
42323 is the 4424th prime number. Its only divisors are 1 and 42323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42323: the 4424th prime number.
- 2
42323 is prime, so its only factors are 1 and 42323. It is the 4424th prime; the next prime is 42331 and the one before is 42307.
- 3
The divisors add up to 42324; without 42323 itself that is 1, so 42323 is deficient (1 is less than 42323). Euler's totient φ(42323) = 42322 numbers up to 42323 share no factor with it.
- 4
The digits of 42323 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
42323 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42324 |
| Euler totient φ(n) | 42322 |
| Square | 1791236329 |
| Cube | 75810495152267 |
| Square root | 205.725545 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2323 × |
42323 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and twenty-three |
| Binary (base 2) | 1010010101010011 |
| Octal (base 8) | 122523 |
| Hexadecimal (base 16) | A553 |
| Base 3 | 2011001112 |
| As time | 42323 seconds = 11 h 45 min 23 s |
Is 42323 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 1) | 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 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 6) | 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 42323 a prime number?
Yes. 42323 is divisible only by 1 and itself.
What are the factors of 42323?
1, 42323.
What is 42323 in binary?
1010010101010011 (hexadecimal A553, octal 122523).
What is the square root of 42323?
About 205.7255.
Is 42323 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42323?
42323 is the 4424th prime number.