2² × 3 × 5⁴ × 59

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,312,080

Proper Divisor Sum 869,580

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #442499 ← → #442501

1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 125 150 177 236 250 295 300 354 375 500 590 625 708 750 885 1,180 1,250 1,475 1,500 1,770 1,875 2,500 2,950 3,540 3,750 4,425 5,900 7,375 7,500 8,850 14,750 17,700 22,125 29,500 36,875 44,250 73,750 88,500 110,625 147,500 221,250 442,500

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

442,500 221,250 110,625 331,876 165,938 82,969 248,908 124,454 62,227 186,682 93,341 280,024 140,012 70,006 35,003 105,010 52,505 157,516 78,758 39,379 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086

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