Step by Step solution about How to resolve the algorithm Perfect numbers step by step in the Mathematica / Wolfram Language programming language

The code you provided is a Wolfram program that defines a function PerfectQ which takes an integer as an argument and returns True if the integer is a perfect number, and False otherwise. A perfect number is a number whose sum of its proper divisors is equal to the number itself.

The function Divisors takes an integer as an argument and returns a list of all of its divisors. The function Total takes a list of numbers as an argument and returns the sum of the numbers in the list.

The function Position takes two arguments: a list and a pattern. It returns a list of the positions of the elements in the list that match the pattern.

The code first defines the function PerfectQ. Then, it calls the function PerfectQ on the number 496 and prints the result, which is True. Then, it calls the function PerfectQ on the number 128 and prints the result, which is False. Finally, it calls the function PerfectQ on the range of numbers from 1 to 10000 and prints the positions of the numbers that are perfect numbers. The result is a list of the numbers 6, 28, 496, and 8128.

PerfectQ[i_Integer] := Total[Divisors[i]] == 2 i


PerfectQ[496]
PerfectQ[128]
Flatten[PerfectQ/@Range[10000]//Position[#,True]&]


True
False
{6,28,496,8128}