2³ × 5² × 47 × 73

Prime Factor Structure

Factorization String 2^3 × 5^2 × 47 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,651,680

Proper Divisor Sum 965,480

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #686197 ← → #686201

1 2 4 5 8 10 20 25 40 47 50 73 94 100 146 188 200 235 292 365 376 470 584 730 940 1,175 1,460 1,825 1,880 2,350 2,920 3,431 3,650 4,700 6,862 7,300 9,400 13,724 14,600 17,155 27,448 34,310 68,620 85,775 137,240 171,550 343,100 686,200

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

686,200 343,100 171,550 85,775 257,326 128,663 385,990 192,995 578,986 289,493 868,480 434,240 217,120 108,560 54,280 27,140 13,570 6,785 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360

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