3³ × 5² × 7² × 13

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 989,520

Proper Divisor Sum 559,545

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #429973 ← → #429991

1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 91 105 117 135 147 175 189 195 225 245 273 315 325 351 441 455 525 585 637 675 735 819 945 975 1,225 1,323 1,365 1,575 1,755 1,911 2,205 2,275 2,457 2,925 3,185 3,675 4,095 4,725 5,733 6,615 6,825 8,775 9,555

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

429,975 1,289,926 644,963 1,934,890 967,445 2,902,336 1,451,168 725,584 362,792 181,396 90,698 45,349 136,048 68,024 34,012 17,006 8,503 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455

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