This puzzle is based off the What is a Word™ and What is a Phrase™ series started by JLee and their spin-off What is a Number™ series started by smriti.
If a number conforms to a certain rule, I call it a Well-toned Number™. Use the following examples to find the rule:
Well-toned Numbers™ | Not Well-toned Numbers™ |
---|---|
36 | 49 |
343 | 729 |
2000 | 1000 |
13597 | 13579 |
254708 | 125678 |
807452 | 876521 |
5551205 | 5552106 |
8675190 | 8675309 |
138076942564 | 138076942546 |
942564138076 | 942546138076 |
Here is a CSV version:
Well-toned Numbers™,Not Well-toned Numbers™
36,49
343,729
2000,1000
13597,13579
254708,125678
807452,876521
5551205,5552106
8675190,8675309
138076942564,138076942546
942564138076,942546138076
The puzzle relies on the series' inbuilt assumption, that each number can be tested for whether it is a Well-toned Number™ on its own. In particular, a number's relationship to other numbers in the sequence is irrelevant.
These are not the only examples of Well-toned Numbers™ (or not Well-toned Numbers™), more can be found.
Hints:
Maybe @DarfNader is onto something...