3 × 5 × 7 × 11²

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,536

Proper Divisor Sum 12,831

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #12703 ← → #12713

1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1,155 1,815 2,541 4,235 12,705

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

12,705 38,116 19,058 9,529 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 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 1,291 3,874 1,937 5,812 2,906

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