Halfway Through the Year

Day 182 of a leap year falls on June 30 — the exact midpoint of 365 days falls on July 2 in non-leap years. The number 182 = 2 × 7 × 13, with twelve divisors. The unequal distribution of days across months (28, 29, 30, 31) means no calendar quarter is exactly one-quarter of the year. A perfectly regular calendar with 13 months of 28 days plus one 'World Day' (365 = 13 × 28 + 1) was seriously proposed as the International Fixed Calendar — adopted by Eastman Kodak for internal use from 1928 to 1989. Mathematically clean; humanly awkward.