Sumerian Base-60: Origin of 60-Minute Hours and 360° Circles — E8 Intelligence Research

FINDING: Sumerian/Babylonian mathematics used a sexagesimal (base-60) positional numeral system, the origin of our 60-minute hour, 60-second minute, and 360° circle. | MATH: Base b=60; positional notation with place values 60^n; 60 = 2²·3·5; divisors of 60 = {1,2,3,4,5,6,10,12,15,20,30,60} (12 divisors); 360 = 6·60; reciprocal table entries 1/n for n | 60. | CONNECTION: 60 is a highly composite number (HCN); its divisor count τ(60)=12 and divisor sum σ(60)=168. The 360° circle = 6×60 links to hexagonal symmetry (6-fold rotation, crystallographic point group 6/mmm). 60° is the interior angle of an equilateral triangle — the fundamental tile of the hexagonal lattice (A₂ root system). | DEPTH: 7 --- FINDING: The sexagesimal system was chosen for computational efficiency — divisibility enabling exact reciprocals, multiplication, and division without fractions. | MATH: For base 60, fractions 1/2, 1/3, 1/4, 1/5, 1/6, 1/10, 1/12, 1/15, 1/20, 1/30, 1/60 all terminate exactly. Regular numbers Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com