3³ × 11 × 37²

Prime Factor Structure

Factorization String 3^3 × 11 × 37^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 675,360

Proper Divisor Sum 268,767

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #406591 ← → #406631

1 3 9 11 27 33 37 99 111 297 333 407 999 1,221 1,369 3,663 4,107 10,989 12,321 15,059 36,963 45,177 135,531 406,593

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

406,593 1,219,780 609,890 304,945 914,836 457,418 228,709 686,128 343,064 171,532 85,766 42,883 128,650 64,325 192,976 96,488 48,244 24,122 12,061 36,184 18,092 9,046 4,523 13,570 6,785 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582

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