Analysis: The methods of taking natural number 6 according to the angle valley are: 6 ÷ 2 = 33× 3+1=103× 5+1=16 ÷ 2 = 88 ÷ 2 = 44. Take the natural number 7 as 7 → 22 →1→ 34 →17 → 52 → 26 →13 → 40 → 20 →10 → …→1 If the natural number is100 → 50 → 25 → 76 → 38 →19 → 58 → 29 → 88 → 44 → 22 → …→1 Inductive conjecture: if you repeat this operation, you will inevitably get 1. Tips: This conjecture is called "Corner and Valley Conjecture". This interesting phenomenon has attracted many math enthusiasts to find that in a large number of calculations, the calculated numbers fluctuate greatly, and some processes are very long. For example, it takes 27 steps to calculate 1 12. People describe the calculation process as follows: the water droplets in the cloud fluctuate under the action of high-altitude airflow, and become more and more ice and hail after cooling, and fall into 1. Therefore, it is also called "Hail conjecture"