2³ × 3² × 7 × 127²

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 127^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 25,360,920

Proper Divisor Sum 17,231,904

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8128969 ← → #8129027

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 889 1,016 1,143 1,524 1,778 2,286 2,667 3,048 3,556 4,572 5,334 7,112 8,001 9,144 10,668 16,002 16,129 21,336 32,004 32,258 48,387 64,008 64,516 96,774 112,903 129,032 145,161 193,548 225,806 290,322 338,709

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

8,129,016 4,064,508 2,032,254 1,016,127 3,048,382 1,524,191 4,572,574 2,286,287 6,858,862 3,429,431 10,288,294 5,144,147 15,432,442 7,716,221 23,148,664 11,574,332 5,787,166 2,893,583 8,680,750 4,340,375 13,021,126 6,510,563 19,531,690 9,765,845 29,297,536 14,648,768 7,324,384 3,662,192 1,831,096 915,548 457,774 228,887 686,662 343,331 1,029,994 514,997 1,544,992 772,496 386,248 193,124 96,562 48,281 144,844 72,422 36,211 108,634 54,317 162,952 81,476 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594

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