2⁵ × 3³ × 5 × 3001

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 3001

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 45,390,240

Proper Divisor Sum 32,425,920

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #12964313 ← → #12964321

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1,080 1,440 2,160 3,001 4,320 6,002 9,003 12,004 15,005 18,006 24,008 27,009 30,010 36,012 45,015 48,016

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

12,964,320 6,482,160 3,241,080 1,620,540 810,270 405,135 1,215,406 607,703 1,823,110 911,555 2,734,666 1,367,333 4,102,000 2,051,000 1,025,500 512,750 256,375 769,126 384,563 1,153,690 576,845 1,730,536 865,268 432,634 216,317 648,952 324,476 162,238 81,119 243,358 121,679 365,038 182,519 547,558 273,779 821,338 410,669 1,232,008 616,004 308,002 154,001 462,004 231,002 115,501 346,504 173,252 86,626 43,313 129,940 64,970 32,485 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706

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