3⁵ × 5² × 11²

Prime Factor Structure

Factorization String 3^5 × 5^2 × 11^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 1,500,772

Proper Divisor Sum 765,697

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #735073 ← → #735083

1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 243 275 297 363 405 495 605 675 825 891 1,089 1,215 1,485 1,815 2,025 2,475 2,673 3,025 3,267 4,455 5,445 6,075 7,425 9,075 9,801 13,365 16,335 22,275 27,225 29,403 49,005 66,825 81,675 147,015 245,025 735,075

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

735,075 2,205,226 1,102,613 3,307,840 1,653,920 826,960 413,480 206,740 103,370 51,685 155,056 77,528 38,764 19,382 9,691 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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