2 × 3⁶ × 7³

Prime Factor Structure

Factorization String 2 × 3^6 × 7^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 1,311,600

Proper Divisor Sum 811,506

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #500083 ← → #500107

1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 343 378 441 486 567 686 729 882 1,029 1,134 1,323 1,458 1,701 2,058 2,646 3,087 3,402 3,969 5,103 6,174 7,938 9,261 10,206 11,907 18,522 23,814 27,783 35,721 55,566 71,442 83,349 166,698 250,047 500,094

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

500,094 250,047 750,142 375,071 1,125,214 562,607 1,687,822 843,911 2,531,734 1,265,867 3,797,602 1,898,801 5,696,404 2,848,202 1,424,101 4,272,304 2,136,152 1,068,076 534,038 267,019 801,058 400,529 1,201,588 600,794 300,397 901,192 450,596 225,298 112,649 337,948 168,974 84,487 253,462 126,731 380,194 190,097 570,292 285,146 142,573 427,720 213,860 106,930 53,465 160,396 80,198 40,099 120,298 60,149 180,448 90,224 45,112 22,556 11,278 5,639 16,918 8,459 25,378 12,689 38,068 19,034

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