Here I present to you a very simple but interesting conjecture.
Take any natural number n>=5. If n is composite (a number having factors other than 1 and itself), add up all of its prime factors. If n is prime (a number having only two factors: 1 and the number itself), just add one to it. Repeat the process indefinitely. The conjecture states that no matter what number you start with, you shall always eventually reach the 'Perfect Number 6'.
(i) Let n=7
Sequence: {7,8,6}
(ii) Let n=11
Sequence: {11,12,7,8,6}
(iii) Let n=188
Sequence: {188,51,20,9,6}
(iv) Let n=1000
Sequence: {1000,21,10,7,8,6}
(v) Let n=987654
Sequence: {1799,264,20,9,6}
and so on...
