Lakshmi, R. Rohini
(2016)
An iteration on the prime factors of a number.
At Right Angles, 5 (3).
pp. 28-29.
ISSN 2582-1873
Abstract
In this short note I study the behaviour of a function
f defined in the positive integers exceeding 1 (namely, the set
{2, 3, 4, 5,...}), when it is applied over and over again on
itself. Here is its definition. Given a positive integer n > 1, we
compute f(n) as follows. First, we check whether n is prime or
composite. If n is prime, then f(n) = n + 1. If n is composite,
then we set f(n) to be equal to the sum of all the prime numbers
which divide n, each prime number being added as many times
as it divides n.
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