3 × 7² × 11 × 31

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 87,552

Proper Divisor Sum 37,425

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #50123 ← → #50129

1 3 7 11 21 31 33 49 77 93 147 217 231 341 539 651 1,023 1,519 1,617 2,387 4,557 7,161 16,709 50,127

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

50,127 150,382 75,191 225,574 112,787 338,362 169,181 507,544 253,772 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738 488,369 1,465,108 732,554 366,277 1,098,832 549,416 274,708 137,354 68,677

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