3 × 5 × 7 × 11² × 17

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^2 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 459,648

Proper Divisor Sum 243,663

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #215983 ← → #216023

1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 119 121 165 187 231 255 357 363 385 561 595 605 847 935 1,155 1,309 1,785 1,815 2,057 2,541 2,805 3,927 4,235 6,171 6,545 10,285 12,705 14,399 19,635 30,855 43,197 71,995 215,985

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

215,985 647,956 323,978 161,989 485,968 242,984 121,492 60,746 30,373 91,120 45,560 22,780 11,390 5,695 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372

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