2³ × 3² × 5⁴

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^4

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 152,295

Proper Divisor Sum 107,295

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #44987 ← → #45007

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1,000 1,125 1,250 1,500 1,800 1,875 2,250 2,500 3,000 3,750 4,500 5,000 5,625 7,500 9,000 11,250 15,000 22,500 45,000

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

45,000 22,500 11,250 5,625 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

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