2 × 3³ × 7 × 13 × 163

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 13 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,204,160

Proper Divisor Sum 1,403,178

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #800977 ← → #800993

1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 163 182 189 234 273 326 351 378 489 546 702 819 978 1,141 1,467 1,638 2,119 2,282 2,457 2,934 3,423 4,238 4,401 4,914 6,357 6,846 8,802 10,269 12,714 14,833 19,071 20,538 29,666 30,807 38,142 44,499 57,213 61,614 88,998 114,426

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

800,982 400,491 1,201,474 600,737 1,802,212 901,106 450,553 1,351,660 675,830 337,915 1,013,746 506,873 1,520,620 760,310 380,155 1,140,466 570,233 1,710,700 855,350 427,675 1,283,026 641,513 1,924,540 962,270 481,135 1,443,406 721,703 2,165,110 1,082,555 3,247,666 1,623,833 4,871,500 2,435,750 1,217,875 3,653,626 1,826,813 5,480,440 2,740,220 1,370,110 685,055 2,055,166 1,027,583 3,082,750 1,541,375 4,624,126 2,312,063 6,936,190 3,468,095 10,404,286 5,202,143 15,606,430 7,803,215 23,409,646 11,704,823 35,114,470 17,557,235 52,671,706 26,335,853 79,007,560 39,503,780

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