3³ × 5 × 7 × 13 × 43

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 13 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,182,720

Proper Divisor Sum 654,465

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #528247 ← → #528263

1 3 5 7 9 13 15 21 27 35 39 43 45 63 65 91 105 117 129 135 189 195 215 273 301 315 351 387 455 559 585 645 819 903 945 1,161 1,365 1,505 1,677 1,755 1,935 2,457 2,709 2,795 3,913 4,095 4,515 5,031 5,805 8,127 8,385 11,739 12,285 13,545 15,093 19,565 25,155 35,217 40,635 58,695

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

528,255 1,584,766 792,383 2,377,150 1,188,575 3,565,726 1,782,863 5,348,590 2,674,295 8,022,886 4,011,443 12,034,330 6,017,165 18,051,496 9,025,748 4,512,874 2,256,437 6,769,312 3,384,656 1,692,328 846,164 423,082 211,541 634,624 317,312 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560

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