2 × 3² × 5 × 67 × 71

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 67 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,145,664

Proper Divisor Sum 717,534

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #428093 ← → #428137

1 2 3 5 6 9 10 15 18 30 45 67 71 90 134 142 201 213 335 355 402 426 603 639 670 710 1,005 1,065 1,206 1,278 2,010 2,130 3,015 3,195 4,757 6,030 6,390 9,514 14,271 23,785 28,542 42,813 47,570 71,355 85,626 142,710 214,065 428,130

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

428,130 214,065 642,196 321,098 160,549 481,648 240,824 120,412 60,206 30,103 90,310 45,155 135,466 67,733 203,200 101,600 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300

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