3¹⁰ × 7

Prime Factor Structure

Factorization String 3^10 × 7

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 22

Divisor Sum (σ) 708,584

Proper Divisor Sum 295,241

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #413299 ← → #413353

1 3 7 9 21 27 63 81 189 243 567 729 1,701 2,187 5,103 6,561 15,309 19,683 45,927 59,049 137,781 413,343

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

413,343 1,240,030 620,015 1,860,046 930,023 2,790,070 1,395,035 4,185,106 2,092,553 6,277,660 3,138,830 1,569,415 4,708,246 2,354,123 7,062,370 3,531,185 10,593,556 5,296,778 2,648,389 7,945,168 3,972,584 1,986,292 993,146 496,573 1,489,720 744,860 372,430 186,215 558,646 279,323 837,970 418,985 1,256,956 628,478 314,239 942,718 471,359 1,414,078 707,039 2,121,118 1,060,559 3,181,678 1,590,839 4,772,518 2,386,259 7,158,778 3,579,389 10,738,168 5,369,084 2,684,542 1,342,271 4,026,814 2,013,407 6,040,222 3,020,111 9,060,334 4,530,167 13,590,502 6,795,251 20,385,754

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