3² × 11² × 19²

Prime Factor Structure

Factorization String 3^2 × 11^2 × 19^2

Distinct Prime Factors 3

Square Status Yes (√393129 = 627)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 658,749

Proper Divisor Sum 265,620

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #393121 ← → #393137

1 3 9 11 19 33 57 99 121 171 209 361 363 627 1,083 1,089 1,881 2,299 3,249 3,971 6,897 11,913 20,691 35,739 43,681 131,043 393,129

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

393,129 1,179,388 589,694 294,847 884,542 442,271 1,326,814 663,407 1,990,222 995,111 2,985,334 1,492,667 4,478,002 2,239,001 6,717,004 3,358,502 1,679,251 5,037,754 2,518,877 7,556,632 3,778,316 1,889,158 944,579 2,833,738 1,416,869 4,250,608 2,125,304 1,062,652 531,326 265,663 796,990 398,495 1,195,486 597,743 1,793,230 896,615 2,689,846 1,344,923 4,034,770 2,017,385 6,052,156 3,026,078 1,513,039 4,539,118 2,269,559 6,808,678 3,404,339 10,213,018 5,106,509 15,319,528 7,659,764 3,829,882 1,914,941 5,744,824 2,872,412 1,436,206 718,103 2,154,310 1,077,155 3,231,466

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