3 × 7² × 13² × 17

Prime Factor Structure

Factorization String 3 × 7^2 × 13^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 751,032

Proper Divisor Sum 328,701

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #422321 ← → #422339

1 3 7 13 17 21 39 49 51 91 119 147 169 221 273 357 507 637 663 833 1,183 1,547 1,911 2,499 2,873 3,549 4,641 8,281 8,619 10,829 20,111 24,843 32,487 60,333 140,777 422,331

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

422,331 1,266,994 633,497 1,900,492 950,246 475,123 1,425,370 712,685 2,138,056 1,069,028 534,514 267,257 801,772 400,886 200,443 601,330 300,665 901,996 450,998 225,499 676,498 338,249 1,014,748 507,374 253,687 761,062 380,531 1,141,594 570,797 1,712,392 856,196 428,098 214,049 642,148 321,074 160,537 481,612 240,806 120,403 361,210 180,605 541,816 270,908 135,454 67,727 203,182 101,591 304,774 152,387 457,162 228,581 685,744 342,872 171,436 85,718 42,859 128,578 64,289 192,868 96,434

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