3 × 5 × 13² × 17 × 193

Prime Factor Structure

Factorization String 3 × 5 × 13^2 × 17 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,336,864

Proper Divisor Sum 7,019,529

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8317303 ← → #8317339

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

8,317,335 24,952,006 12,476,003 37,428,010 18,714,005 56,142,016 28,071,008 14,035,504 7,017,752 3,508,876 1,754,438 877,219 2,631,658 1,315,829 3,947,488 1,973,744 986,872 493,436 246,718 123,359 370,078 185,039 555,118 277,559 832,678 416,339 1,249,018 624,509 1,873,528 936,764 468,382 234,191 702,574 351,287 1,053,862 526,931 1,580,794 790,397 2,371,192 1,185,596 592,798 296,399 889,198 444,599 1,333,798 666,899 2,000,698 1,000,349 3,001,048 1,500,524 750,262 375,131 1,125,394 562,697 1,688,092 844,046 422,023 1,266,070 633,035 1,899,106

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