2³ × 5⁴ × 23 × 73

Prime Factor Structure

Factorization String 2^3 × 5^4 × 23 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,805,840

Proper Divisor Sum 12,410,840

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8394983 ← → #8395021

1 2 4 5 8 10 20 23 25 40 46 50 73 92 100 115 125 146 184 200 230 250 292 365 460 500 575 584 625 730 920 1,000 1,150 1,250 1,460 1,679 1,825 2,300 2,500 2,875 2,920 3,358 3,650 4,600 5,000 5,750 6,716 7,300 8,395 9,125 11,500 13,432 14,375 14,600 16,790 18,250 23,000 28,750 33,580 36,500

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

8,395,000 4,197,500 2,098,750 1,049,375 3,148,126 1,574,063 4,722,190 2,361,095 7,083,286 3,541,643 10,624,930 5,312,465 15,937,396 7,968,698 3,984,349 11,953,048 5,976,524 2,988,262 1,494,131 4,482,394 2,241,197 6,723,592 3,361,796 1,680,898 840,449 2,521,348 1,260,674 630,337 1,891,012 945,506 472,753 1,418,260 709,130 354,565 1,063,696 531,848 265,924 132,962 66,481 199,444 99,722 49,861 149,584 74,792 37,396 18,698 9,349 28,048 14,024 7,012 3,506 1,753 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480

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