The number 42293
42293 is the 4421st prime number. Its only divisors are 1 and 42293.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42293: the 4421st prime number.
- 2
42293 is prime, so its only factors are 1 and 42293. It is the 4421st prime; the next prime is 42299 and the one before is 42283.
- 3
The divisors add up to 42294; without 42293 itself that is 1, so 42293 is deficient (1 is less than 42293). Euler's totient φ(42293) = 42292 numbers up to 42293 share no factor with it.
- 4
The digits of 42293 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
42293 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42294 |
| Euler totient φ(n) | 42292 |
| Square | 1788697849 |
| Cube | 75649398127757 |
| Square root | 205.652620 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2293 × |
42293 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and ninety-three |
| Binary (base 2) | 1010010100110101 |
| Octal (base 8) | 122465 |
| Hexadecimal (base 16) | A535 |
| Base 3 | 2011000102 |
| As time | 42293 seconds = 11 h 44 min 53 s |
Is 42293 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 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42293 a prime number?
Yes. 42293 is divisible only by 1 and itself.
What are the factors of 42293?
1, 42293.
What is 42293 in binary?
1010010100110101 (hexadecimal A535, octal 122465).
What is the square root of 42293?
About 205.6526.
Is 42293 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42293?
42293 is the 4421st prime number.