Today we explore some properties of the number 36. It is of course a perfect square, 6 x 6. But it is also a so-called “triangle number”, the sum of consecutive integers from 1 to 8. It is highly composite, having 9 factors, all 2s and 3s. Composites of 2 and 3 have a particular appeal for humans, and are very common in music (where most rhythms are subdivisions of 2 and 3), and in organization (e.g., dozens, etc.).
We will continue to post properties and facts throughout the day, but feel free to suggest your own in the comments.