Start with any whole positive number. If it is even, divide it by 2; if odd, multiply by 3 and add 1. After a string of calculations applying the even-odd method, regardless of the starting number, the answer will always be 1. Well maybe because all numbers have not yet been checked. But up to 10 raised to the fourteenth power have been. And that is a very big number! This mathematical oddity is called the Collatz Conjecture.
For example, here is the calculation string applying the even-odd formula starting with 5: 16, 8, 4, 2, 1. (This is a great challenge for children BTW, especially if you require mental calculation.) Try a number. Don't try 33 or you will be up all night calculating till you reach 1, but you'll get there.
Why is it called a conjecture? The word is defined as a hypothesis that has been formed by speculating, usually with little hard evidence. I'm sure Collatz tried thousands of calculations before publishing his conjecture unlike the lady who questioned me about the origins of my lung cancer.
People are inquisitive. When I slip off my tee-shirt to enter the pool, people can't help but notice my "battle-scarred" chest. I've a distinctive banana-shaped scar along my back and missing ribs and a noticeable lack of a right pectoral muscle in addition to many suture scars front and back. I could easily claim a battle wound but tell the truth. When I did, my inquisitor said: "smoker right?"
This is the Lung Cancer Conjecture -- pure speculation. In my case, it is likely true but think of the never smoker encountering the same conjecture, then suffering the disdainful scorn of disapproval normally reserved for a badly misbehaving child.
It is of little value to take these people on. They have small minds that are already made up. It is however required we attack the attitude of deserving to die because we contracted a disease that settled opinion holds as self-inflicted. HIV/AIDS is largely self-induced and the ill are treated as heroes, reaping a bonus-budget of 10-percent of all NIH research dollars. This malicious Lung Cancer Conjecture must be contested if we hope to increase research funding from minuscule to meaningful.
The number 1 is the likely answer to Collatz's Conjecture. One also signifies a single entity, a whole person, a human being who contracted lung cancer. Does the reason really matter?
Stay the course.