2 × 3² × 5³ × 19

Prime Factor Structure

Factorization String 2 × 3^2 × 5^3 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 121,680

Proper Divisor Sum 78,930

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #42743 ← → #42751

1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 125 150 171 190 225 250 285 342 375 450 475 570 750 855 950 1,125 1,425 1,710 2,250 2,375 2,850 4,275 4,750 7,125 8,550 14,250 21,375 42,750

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

42,750 21,375 64,126 32,063 96,190 48,095 144,286 72,143 216,430 108,215 324,646 162,323 486,970 243,485 730,456 365,228 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628

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