2⁷ × 5³ × 43

Prime Factor Structure

Factorization String 2^7 × 5^3 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,750,320

Proper Divisor Sum 1,062,320

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #687977 ← → #688003

1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 128 160 172 200 215 250 320 344 400 430 500 640 688 800 860 1,000 1,075 1,376 1,600 1,720 2,000 2,150 2,752 3,200 3,440 4,000 4,300 5,375 5,504 6,880 8,000 8,600 10,750 13,760 16,000 17,200 21,500 27,520 34,400 43,000 68,800 86,000

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

688,000 344,000 172,000 86,000 43,000 21,500 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242

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