3³ × 509

Prime Factor Structure

Factorization String 3^3 × 509

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 20,400

Proper Divisor Sum 6,657

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #13729 ← → #13751

1 3 9 27 509 1,527 4,581 13,743

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

13,743 41,230 20,615 61,846 30,923 92,770 46,385 139,156 69,578 34,789 104,368 52,184 26,092 13,046 6,523 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863

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