2² × 3⁷ × 7²

Prime Factor Structure

Factorization String 2^2 × 3^7 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,308,720

Proper Divisor Sum 880,068

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #428639 ← → #428657

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 729 756 882 972 1,134 1,323 1,458 1,701 1,764 2,187 2,268 2,646 2,916 3,402 3,969 4,374 5,103 5,292 6,804 7,938 8,748 10,206 11,907 15,309

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

428,652 214,326 107,163 321,490 160,745 482,236 241,118 120,559 361,678 180,839 542,518 271,259 813,778 406,889 1,220,668 610,334 305,167 915,502 457,751 1,373,254 686,627 2,059,882 1,029,941 3,089,824 1,544,912 772,456 386,228 193,114 96,557 289,672 144,836 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454

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