3² × 13 × 19²

Prime Factor Structure

Factorization String 3^2 × 13 × 19^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 69,342

Proper Divisor Sum 27,105

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #42227 ← → #42239

1 3 9 13 19 39 57 117 171 247 361 741 1,083 2,223 3,249 4,693 14,079 42,237

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

42,237 126,712 63,356 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610

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