3 × 5⁴ × 11 × 23

Prime Factor Structure

Factorization String 3 × 5^4 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 899,712

Proper Divisor Sum 425,337

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #474359 ← → #474379

1 3 5 11 15 23 25 33 55 69 75 115 125 165 253 275 345 375 575 625 759 825 1,265 1,375 1,725 1,875 2,875 3,795 4,125 6,325 6,875 8,625 14,375 18,975 20,625 31,625 43,125 94,875 158,125 474,375

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

474,375 1,423,126 711,563 2,134,690 1,067,345 3,202,036 1,601,018 800,509 2,401,528 1,200,764 600,382 300,191 900,574 450,287 1,350,862 675,431 2,026,294 1,013,147 3,039,442 1,519,721 4,559,164 2,279,582 1,139,791 3,419,374 1,709,687 5,129,062 2,564,531 7,693,594 3,846,797 11,540,392 5,770,196 2,885,098 1,442,549 4,327,648 2,163,824 1,081,912 540,956 270,478 135,239 405,718 202,859 608,578 304,289 912,868 456,434 228,217 684,652 342,326 171,163 513,490 256,745 770,236 385,118 192,559 577,678 288,839 866,518 433,259 1,299,778 649,889

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