2⁷ × 5² × 47 × 53

Prime Factor Structure

Factorization String 2^7 × 5^2 × 47 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,489,760

Proper Divisor Sum 12,518,560

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7971199 ← → #7971209

1 2 4 5 8 10 16 20 25 32 40 47 50 53 64 80 94 100 106 128 160 188 200 212 235 265 320 376 400 424 470 530 640 752 800 848 940 1,060 1,175 1,325 1,504 1,600 1,696 1,880 2,120 2,350 2,491 2,650 3,008 3,200 3,392 3,760 4,240 4,700 4,982 5,300 6,016 6,784 7,520 8,480

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

7,971,200 3,985,600 1,992,800 996,400 498,200 249,100 124,550 62,275 186,826 93,413 280,240 140,120 70,060 35,030 17,515 52,546 26,273 78,820 39,410 19,705 59,116 29,558 14,779 44,338 22,169 66,508 33,254 16,627 49,882 24,941 74,824 37,412 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429

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