2 × 3³ × 7 × 11 × 103

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 11 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,198,080

Proper Divisor Sum 769,806

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #428273 ← → #428297

1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 103 126 154 189 198 206 231 297 309 378 462 594 618 693 721 927 1,133 1,386 1,442 1,854 2,079 2,163 2,266 2,781 3,399 4,158 4,326 5,562 6,489 6,798 7,931 10,197 12,978 15,862 19,467 20,394 23,793 30,591 38,934 47,586 61,182

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

428,274 214,137 642,412 321,206 160,603 481,810 240,905 722,716 361,358 180,679 542,038 271,019 813,058 406,529 1,219,588 609,794 304,897 914,692 457,346 228,673 686,020 343,010 171,505 514,516 257,258 128,629 385,888 192,944 96,472 48,236 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300

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