2 × 3³ × 5² × 29 × 193

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 29 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,650,400

Proper Divisor Sum 14,094,450

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7555943 ← → #7555981

1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 193 225 261 270 290 386 435 450 522 579 675 725 783 870 965 1,158 1,305 1,350 1,450 1,566 1,737 1,930 2,175 2,610 2,895 3,474 3,915 4,350 4,825 5,211 5,597 5,790 6,525 7,830 8,685 9,650

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

7,555,950 3,777,975 11,333,926 5,666,963 17,000,890 8,500,445 25,501,336 12,750,668 6,375,334 3,187,667 9,563,002 4,781,501 14,344,504 7,172,252 3,586,126 1,793,063 5,379,190 2,689,595 8,068,786 4,034,393 12,103,180 6,051,590 3,025,795 9,077,386 4,538,693 13,616,080 6,808,040 3,404,020 1,702,010 851,005 2,553,016 1,276,508 638,254 319,127 957,382 478,691 1,436,074 718,037 2,154,112 1,077,056 538,528 269,264 134,632 67,316 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932

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