by Michael Thomas De Vlieger, 2009, revised and condensed 13 August 2014, St. Louis, Missouri.
This chart shows m (horizontal axis) neutral to n (vertical axis). The neutral numbers m with respect to n are colored orange (■) for semidivisors and yellow (■) for semitotatives. Non-neutral numbers (divisors, totatives, and units) are colored gray (■). See a page showing all the arithmetic relationships of m ≤ n to n. These other charts were generated in Mathematica 8 on 13 June 2014.
| Neutral m ≤ n to n | ||||||||||||||||||
Key: ■ Semidivisor, ■ Semitotative, ■ Non-neutral |
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| 2 | 1 | 2 | ||||||||||||||||
| 3 | 1 | 2 | 3 | |||||||||||||||
| 4 | 1 | 2 | 3 | 4 | ||||||||||||||
| 5 | 1 | 2 | 3 | 4 | 5 | |||||||||||||
| 6 | 1 | 2 | 3 | 4 | 5 | 6 | ||||||||||||
| 7 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||||||||||
| 8 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||||||||||
| 9 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |||||||||
| 10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||||||||
| 11 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | |||||||
| 12 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ||||||
| 13 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | |||||
| 14 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | ||||
| 15 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |||
| 16 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | ||