2³ × 5⁴ × 7 × 11

Prime Factor Structure

Factorization String 2^3 × 5^4 × 7 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,124,640

Proper Divisor Sum 739,640

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #384973 ← → #385001

1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1,000 1,100 1,250 1,375 1,400 1,540 1,750 1,925 2,200 2,500 2,750 3,080 3,500 3,850 4,375 5,000

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

385,000 192,500 96,250 48,125 144,376 72,188 36,094 18,047 54,142 27,071 81,214 40,607 121,822 60,911 182,734 91,367 274,102 137,051 411,154 205,577 616,732 308,366 154,183 462,550 231,275 693,826 346,913 1,040,740 520,370 260,185 780,556 390,278 195,139 585,418 292,709 878,128 439,064 219,532 109,766 54,883 164,650 82,325 246,976 123,488 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443

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