3 × 5² × 7 × 19 × 43

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 19 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 872,960

Proper Divisor Sum 444,035

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #428899 ← → #428951

1 3 5 7 15 19 21 25 35 43 57 75 95 105 129 133 175 215 285 301 399 475 525 645 665 817 903 1,075 1,425 1,505 1,995 2,451 3,225 3,325 4,085 4,515 5,719 7,525 9,975 12,255 17,157 20,425 22,575 28,595 61,275 85,785 142,975 428,925

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

428,925 1,286,776 643,388 321,694 160,847 482,542 241,271 723,814 361,907 1,085,722 542,861 1,628,584 814,292 407,146 203,573 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360

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