2⁵ × 3 × 5² × 173

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,359,288

Proper Divisor Sum 944,088

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #415189 ← → #415201

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 173 200 240 300 346 400 480 519 600 692 800 865 1,038 1,200 1,384 1,730 2,076 2,400 2,595 2,768 3,460 4,152 4,325 5,190 5,536 6,920 8,304 8,650 10,380 12,975 13,840 16,608 17,300

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

415,200 207,600 103,800 51,900 25,950 12,975 38,926 19,463 58,390 29,195 87,586 43,793 131,380 65,690 32,845 98,536 49,268 24,634 12,317 36,952 18,476 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644

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