A sociable number chain starts with 14316. How many links in the chain?

Number Theory Level pending

The title is the entire problem specification and question.


The answer is 28.

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1 solution

The 28 links are 14316, 19116, 31704, 47616, 83328, 177792, 295488, 629072, 589786, 294896, 358336, 418904, 366556, 274924, 275444, 243760, 376736, 381028, 285778, 152990, 122410, 97946, 48976, 45946, 22976, 22744, 19916, and 17716.

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