2 × 7² × 11 × 13 × 23 × 31

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 13 × 23 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,063,104

Proper Divisor Sum 12,071,122

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9991973 ← → #9991997

1 2 7 11 13 14 22 23 26 31 46 49 62 77 91 98 143 154 161 182 217 253 286 299 322 341 403 434 506 539 598 637 682 713 806 1,001 1,078 1,127 1,274 1,426 1,519 1,771 2,002 2,093 2,254 2,387 2,821 3,038 3,289 3,542 4,186 4,433 4,774 4,991 5,642 6,578 7,007 7,843 8,866 9,269

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

9,991,982 4,995,991 14,987,974 7,493,987 22,481,962 11,240,981 33,722,944 16,861,472 8,430,736 4,215,368 2,107,684 1,053,842 526,921 1,580,764 790,382 395,191 1,185,574 592,787 1,778,362 889,181 2,667,544 1,333,772 666,886 333,443 1,000,330 500,165 1,500,496 750,248 375,124 187,562 93,781 281,344 140,672 70,336 35,168 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52

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