2 × 3⁴ × 5 × 7 × 1427

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 7 × 1427

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 24,881,472

Proper Divisor Sum 16,790,382

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8091077 ← → #8091091

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1,134 1,427 1,890 2,835 2,854 4,281 5,670 7,135 8,562 9,989 12,843 14,270 19,978 21,405 25,686 29,967 38,529 42,810 49,945 59,934 64,215 77,058 89,901 99,890

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

8,091,090 4,045,545 12,136,636 6,068,318 3,034,159 9,102,478 4,551,239 13,653,718 6,826,859 20,480,578 10,240,289 30,720,868 15,360,434 7,680,217 23,040,652 11,520,326 5,760,163 17,280,490 8,640,245 25,920,736 12,960,368 6,480,184 3,240,092 1,620,046 810,023 2,430,070 1,215,035 3,645,106 1,822,553 5,467,660 2,733,830 1,366,915 4,100,746 2,050,373 6,151,120 3,075,560 1,537,780 768,890 384,445 1,153,336 576,668 288,334 144,167 432,502 216,251 648,754 324,377 973,132 486,566 243,283 729,850 364,925 1,094,776 547,388 273,694 136,847 410,542 205,271 615,814 307,907

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