2³ × 3⁵ × 71 × 73

Prime Factor Structure

Factorization String 2^3 × 3^5 × 71 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 29,090,880

Proper Divisor Sum 19,015,128

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10075711 ← → #10075763

1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 73 81 108 142 146 162 213 216 219 243 284 292 324 426 438 486 568 584 639 648 657 852 876 972 1,278 1,314 1,704 1,752 1,917 1,944 1,971 2,556 2,628 3,834 3,942 5,112 5,183 5,256 5,751 5,913 7,668 7,884 10,366 11,502 11,826

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

10,075,752 5,037,876 2,518,938 1,259,469 3,778,408 1,889,204 944,602 472,301 1,416,904 708,452 354,226 177,113 531,340 265,670 132,835 398,506 199,253 597,760 298,880 149,440 74,720 37,360 18,680 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970

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