The number 42433
42433 is the 4436th prime number. Its only divisors are 1 and 42433.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42433: the 4436th prime number.
- 2
42433 is prime, so its only factors are 1 and 42433. It is the 4436th prime; the next prime is 42437 and the one before is 42409.
- 3
The divisors add up to 42434; without 42433 itself that is 1, so 42433 is deficient (1 is less than 42433). Euler's totient φ(42433) = 42432 numbers up to 42433 share no factor with it.
- 4
The digits of 42433 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.
42433 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42434 |
| Euler totient φ(n) | 42432 |
| Square | 1800559489 |
| Cube | 76403140796737 |
| Square root | 205.992718 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2433 × |
42433 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and thirty-three |
| Binary (base 2) | 1010010111000001 |
| Octal (base 8) | 122701 |
| Hexadecimal (base 16) | A5C1 |
| Base 3 | 2011012121 |
| As time | 42433 seconds = 11 h 47 min 13 s |
Is 42433 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 1) | 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 1) | 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 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42433 a prime number?
Yes. 42433 is divisible only by 1 and itself.
What are the factors of 42433?
1, 42433.
What is 42433 in binary?
1010010111000001 (hexadecimal A5C1, octal 122701).
What is the square root of 42433?
About 205.9927.
Is 42433 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42433?
42433 is the 4436th prime number.