2 × 3 × 7² × 13 × 43 × 47

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 13 × 43 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,224,512

Proper Divisor Sum 12,500,250

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7724261 ← → #7724263

1 2 3 6 7 13 14 21 26 39 42 43 47 49 78 86 91 94 98 129 141 147 182 258 273 282 294 301 329 546 559 602 611 637 658 903 987 1,118 1,222 1,274 1,677 1,806 1,833 1,911 1,974 2,021 2,107 2,303 3,354 3,666 3,822 3,913 4,042 4,214 4,277 4,606 6,063 6,321 6,909 7,826

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

7,724,262 3,862,131 11,586,394 5,793,197 17,379,592 8,689,796 4,344,898 2,172,449 6,517,348 3,258,674 1,629,337 4,888,012 2,444,006 1,222,003 3,666,010 1,833,005 5,499,016 2,749,508 1,374,754 687,377 2,062,132 1,031,066 515,533 1,546,600 773,300 386,650 193,325 579,976 289,988 144,994 72,497 217,492 108,746 54,373 163,120 81,560 40,780 20,390 10,195 30,586 15,293 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004

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