3 × 5 × 7² × 409

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 560,880

Proper Divisor Sum 260,265

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #300593 ← → #300623

1 3 5 7 15 21 35 49 105 147 245 409 735 1,227 2,045 2,863 6,135 8,589 14,315 20,041 42,945 60,123 100,205 300,615

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

300,615 901,846 450,923 1,352,770 676,385 2,029,156 1,014,578 507,289 1,521,868 760,934 380,467 1,141,402 570,701 1,712,104 856,052 428,026 214,013 642,040 321,020 160,510 80,255 240,766 120,383 361,150 180,575 541,726 270,863 812,590 406,295 1,218,886 609,443 1,828,330 914,165 2,742,496 1,371,248 685,624 342,812 171,406 85,703 257,110 128,555 385,666 192,833 578,500 289,250 144,625 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627 22,882 11,441

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