Assignment 1: Mathematical Number Properties

This Java program identifies integers within a given range that possess one or more of five special mathematical properties.

Description

The program iterates from a start to an end value and checks each number against the following five properties. If a number matches at least one, it is printed to the console along with its properties.

Properties Checked:

• Harshad Number: A number that is divisible by the sum of its digits.
• Happy Number: A number that eventually reaches 1 when replaced by the sum of the square of its digits.
• Perfect Number: A number that is equal to the sum of its proper divisors. (This program identifies them using two different methods, named 'Nils' and 'Cordula').
• Hermann Number: A custom-defined number whose binary representation consists of k+1 ones followed by k zeros (for k >= 1).

How to Compile and Run

1. Navigate to the src directory.
2. Compile the Java file:

   javac ueb/Main.java

3. Run the program from the src directory:

   java ueb.Main

The program will then output the numbers in the range of -5 to 500 that match the criteria.