An iteration based on prime and composite factors

TL;DR

This paper introduces a discrete map that combines prime factors and other factors of integers, analyzing its iterative behavior to explore new properties of number factorization.

Contribution

It presents a novel iterative map based on prime and composite factors, offering new insights into number factorization dynamics.

Findings

The map exhibits unique iterative patterns.

Distinct prime and composite factors influence the map's behavior.

Potential applications in number theory and cryptography.

Abstract

A discrete map based on the sum of an integer's distinct primes factors and the sum of its other factors is defined and its iteration is studied.