3 × 7² × 11²

Prime Factor Structure

Factorization String 3 × 7^2 × 11^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 30,324

Proper Divisor Sum 12,537

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #17783 ← → #17789

1 3 7 11 21 33 49 77 121 147 231 363 539 847 1,617 2,541 5,929 17,787

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

17,787 53,362 26,681 80,044 40,022 20,011 60,034 30,017 90,052 45,026 22,513 67,540 33,770 16,885 50,656 25,328 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394

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