3⁶ × 7² × 13 × 43

Prime Factor Structure

Factorization String 3^6 × 7^2 × 13 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 38,377,416

Proper Divisor Sum 18,409,377

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #19968029 ← → #19968041

1 3 7 9 13 21 27 39 43 49 63 81 91 117 129 147 189 243 273 301 351 387 441 559 567 637 729 819 903 1,053 1,161 1,323 1,677 1,701 1,911 2,107 2,457 2,709 3,159 3,483 3,913 3,969 5,031 5,103 5,733 6,321 7,371 8,127 9,477 10,449 11,739 11,907 15,093 17,199 18,963 22,113 24,381 27,391 31,347 35,217

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

19,968,039 59,904,118 29,952,059 89,856,178 44,928,089 134,784,268 67,392,134 33,696,067 101,088,202 50,544,101 151,632,304 75,816,152 37,908,076 18,954,038 9,477,019 28,431,058 14,215,529 42,646,588 21,323,294 10,661,647 31,984,942 15,992,471 47,977,414 23,988,707 71,966,122 35,983,061 107,949,184 53,974,592 26,987,296 13,493,648 6,746,824 3,373,412 1,686,706 843,353 2,530,060 1,265,030 632,515 1,897,546 948,773 2,846,320 1,423,160 711,580 355,790 177,895 533,686 266,843 800,530 400,265 1,200,796 600,398 300,199 900,598 450,299 1,350,898 675,449 2,026,348 1,013,174 506,587 1,519,762 759,881

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