The number 42397
42397 is the 4432nd prime number. Its only divisors are 1 and 42397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42397: the 4432nd prime number.
- 2
42397 is prime, so its only factors are 1 and 42397. It is the 4432nd prime; the next prime is 42403 and the one before is 42391.
- 3
The divisors add up to 42398; without 42397 itself that is 1, so 42397 is deficient (1 is less than 42397). Euler's totient φ(42397) = 42396 numbers up to 42397 share no factor with it.
- 4
The digits of 42397 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
42397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42398 |
| Euler totient φ(n) | 42396 |
| Square | 1797505609 |
| Cube | 76208845304773 |
| Square root | 205.905318 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.2397 × |
42397 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and ninety-seven |
| Binary (base 2) | 1010010110011101 |
| Octal (base 8) | 122635 |
| Hexadecimal (base 16) | A59D |
| Base 3 | 2011011021 |
| As time | 42397 seconds = 11 h 46 min 37 s |
Is 42397 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 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 5) | 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 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 3) | 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 42397 a prime number?
Yes. 42397 is divisible only by 1 and itself.
What are the factors of 42397?
1, 42397.
What is 42397 in binary?
1010010110011101 (hexadecimal A59D, octal 122635).
What is the square root of 42397?
About 205.9053.
Is 42397 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42397?
42397 is the 4432nd prime number.