3³ × 5 × 7² × 11 × 67

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 11 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 11,162,880

Proper Divisor Sum 6,287,625

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4875253 ← → #4875257

1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 67 77 99 105 135 147 165 189 201 231 245 297 315 335 385 441 469 495 539 603 693 735 737 945 1,005 1,155 1,323 1,407 1,485 1,617 1,809 2,079 2,205 2,211 2,345 2,695 3,015 3,283 3,465 3,685 4,221 4,851 5,159 6,615 6,633

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

4,875,255 14,625,766 7,312,883 21,938,650 10,969,325 32,907,976 16,453,988 8,226,994 4,113,497 12,340,492 6,170,246 3,085,123 9,255,370 4,627,685 13,883,056 6,941,528 3,470,764 1,735,382 867,691 2,603,074 1,301,537 3,904,612 1,952,306 976,153 2,928,460 1,464,230 732,115 2,196,346 1,098,173 3,294,520 1,647,260 823,630 411,815 1,235,446 617,723 1,853,170 926,585 2,779,756 1,389,878 694,939 2,084,818 1,042,409 3,127,228 1,563,614 781,807 2,345,422 1,172,711 3,518,134 1,759,067 5,277,202 2,638,601 7,915,804 3,957,902 1,978,951 5,936,854 2,968,427 8,905,282 4,452,641 13,357,924 6,678,962

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