2 × 3² × 5 × 11 × 347

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 977,184

Proper Divisor Sum 633,654

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #343529 ← → #343531

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 347 495 694 990 1,041 1,735 2,082 3,123 3,470 3,817 5,205 6,246 7,634 10,410 11,451 15,615 19,085 22,902 31,230 34,353 38,170 57,255 68,706 114,510 171,765 343,530

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

343,530 171,765 515,296 257,648 128,824 64,412 32,206 16,103 48,310 24,155 72,466 36,233 108,700 54,350 27,175 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120

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