2 × 3⁴ × 7 × 13² × 67

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 13^2 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 36,137,376

Proper Divisor Sum 23,297,094

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #12840281 ← → #12840283

1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 67 78 81 91 117 126 134 162 169 182 189 201 234 273 338 351 378 402 469 507 546 567 603 702 819 871 938 1,014 1,053 1,134 1,183 1,206 1,407 1,521 1,638 1,742 1,809 2,106 2,366 2,457 2,613 2,814 3,042 3,549

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

12,840,282 6,420,141 19,260,424 9,630,212 4,815,106 2,407,553 7,222,660 3,611,330 1,805,665 5,416,996 2,708,498 1,354,249 4,062,748 2,031,374 1,015,687 3,047,062 1,523,531 4,570,594 2,285,297 6,855,892 3,427,946 1,713,973 5,141,920 2,570,960 1,285,480 642,740 321,370 160,685 482,056 241,028 120,514 60,257 180,772 90,386 45,193 135,580 67,790 33,895 101,686 50,843 152,530 76,265 228,796 114,398 57,199 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772 162,886 81,443

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