3³ × 5 × 7 × 41

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 80,640

Proper Divisor Sum 41,895

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #38737 ← → #38747

1 3 5 7 9 15 21 27 35 41 45 63 105 123 135 189 205 287 315 369 615 861 945 1,107 1,435 1,845 2,583 4,305 5,535 7,749 12,915 38,745

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

38,745 116,236 58,118 29,059 87,178 43,589 130,768 65,384 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250

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