Powers of 2 always follow the Collatz Conjecture. Dividing them by 2 repeatedly reduces them to 1. For example, 8 becomes 4, then 2, then 1, showing the sequence holds for these numbers.
Class 6 NCERT Ganita Prakash Chapter 3 Number Play
class 6 Mathematics Textbook Chapter 3 question answer
The Collatz Conjecture states that starting with any positive integer and repeatedly applying the steps (divide by 2 if even, multiply by 3 and add 1 if odd) will eventually reach 1. Powers of 2 simplify this process since they are always even. Dividing 16, for example, by 2 repeatedly gives 8 → 4 → 2 → 1, confirming that the conjecture holds true for this sequence without deviations.
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