3⁶ × 7² × 11

Prime Factor Structure

Factorization String 3^6 × 7^2 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 747,612

Proper Divisor Sum 354,681

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #392929 ← → #392957

1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 243 297 441 539 567 693 729 891 1,323 1,617 1,701 2,079 2,673 3,969 4,851 5,103 6,237 8,019 11,907 14,553 18,711 35,721 43,659 56,133 130,977 392,931

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

392,931 1,178,794 589,397 1,768,192 884,096 442,048 221,024 110,512 55,256 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495

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