3 × 5 × 7² × 101 × 109

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 101 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,348,960

Proper Divisor Sum 7,257,345

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8091583 ← → #8091617

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

8,091,615 24,274,846 12,137,423 36,412,270 18,206,135 54,618,406 27,309,203 81,927,610 40,963,805 122,891,416 61,445,708 30,722,854 15,361,427 46,084,282 23,042,141 69,126,424 34,563,212 17,281,606 8,640,803 25,922,410 12,961,205 38,883,616 19,441,808 9,720,904 4,860,452 2,430,226 1,215,113 3,645,340 1,822,670 911,335 2,734,006 1,367,003 4,101,010 2,050,505 6,151,516 3,075,758 1,537,879 4,613,638 2,306,819 6,920,458 3,460,229 10,380,688 5,190,344 2,595,172 1,297,586 648,793 1,946,380 973,190 486,595 1,459,786 729,893 2,189,680 1,094,840 547,420 273,710 136,855 410,566 205,283 615,850 307,925

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