Respuesta :
The Python program implementing the required features of the class number is lengthy. So, it is attached to the answer as an image
First, two attributes are defined in the class:
- A class attribute called count_instances that is incremented anytime an instance is created. Thus, it keeps count of the number of instances created.
- An instance attribute called N that stores the number
Python does not allow operator overloading by default. To implement default and argument constructors, use default/optional arguments. Though there are other ways, this is the simplest approach for the purposes of this problem.
The isPrime method checks if the constructed number is a prime number. The for loop runs from 2(since this is the first prime number) to int(sqrt(N)), and checks which of these numbers divides N. If none divides N, then N is prime, and it returns true, else it returns false.
isArmstrong checks if the number is an Armstrong number. To easily get the order of the number, the number is converted to a string and the number of characters is gotten.
The number is an Armstrong Number if
[tex]abc...=a^n+b^n+c^n+...[/tex]
where
[tex]n=\text{order of the number, or, number of digits in the number}\\a,b,c,...=\text{the individual digits of the number}[/tex]
See another example on Prime numbers here: https://brainly.com/question/20379340
