2² × 11² × 13²

Prime Factor Structure

Factorization String 2^2 × 11^2 × 13^2

Distinct Prime Factors 3

Square Status Yes (√81796 = 286)

Abundance Measure Abundant

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 170,373

Proper Divisor Sum 88,577

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #81773 ← → #81799

1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1,573 1,859 3,146 3,718 6,292 7,436 20,449 40,898 81,796

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

81,796 40,898 20,449 61,348 30,674 15,337 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854 157,427 472,282 236,141 708,424 354,212 177,106 88,553 265,660 132,830 66,415 199,246 99,623 298,870 149,435 448,306 224,153 672,460

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