2 × 3² × 5 × 7 × 73 × 431

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 73 × 431

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 59,844,096

Proper Divisor Sum 40,022,406

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #19821689 ← → #19821691

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 431 438 511 630 657 730 862 1,022 1,095 1,293 1,314 1,533 2,155 2,190 2,555 2,586 3,017 3,066 3,285 3,879 4,310 4,599 5,110 6,034 6,465 6,570 7,665 7,758 9,051 9,198 12,930 15,085 15,330

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

19,821,690 9,910,845 29,732,536 14,866,268 7,433,134 3,716,567 11,149,702 5,574,851 16,724,554 8,362,277 25,086,832 12,543,416 6,271,708 3,135,854 1,567,927 4,703,782 2,351,891 7,055,674 3,527,837 10,583,512 5,291,756 2,645,878 1,322,939 3,968,818 1,984,409 5,953,228 2,976,614 1,488,307 4,464,922 2,232,461 6,697,384 3,348,692 1,674,346 837,173 2,511,520 1,255,760 627,880 313,940 156,970 78,485 235,456 117,728 58,864 29,432 14,716 7,358 3,679 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.