360 and the relations to natural numbers (1 reply)

The original motivation for choosing 360 as the number of degrees in a circle is unknown. At least we know that it came to be a long, long time ago—as in 4 or 5 thousand years ago with the Sumerians, or perhaps other even more ancient groups.

One theory states that it is related to the fact that 360 is approximately the number of days in a year.

Another theory is that the Sumerians subdivided the circle using the angle of an equilateral triangle as the basic unit and further subdivided the latter into 60 parts following their sexagesimal numeric system.

In this post I will show how the number 360 relates to natural numbers.

360 x 123456789 = 44,444,444,040

44,444,444 / 40 = 1,111,111.1

360 / 1,111,111.1 = 0,000324

360 / 324 = 1,11111111

360 x 987654321 = 355,555,555,560

3/ 555 = 0,0054054054

360 / 54 = 6,66666666

360 / 444 = 0,81081081

360 / 81 = 4,444444444

360 / 333 = 1,081081081

1 / 81 = 0,012345679012345679

1 + 81 = 82

82 / 81 = 1,012345679012345679

355,555,555,560 / 44,444,444,040 = 8