2 × 3 × 7 × 419

Prime Factor Structure

Factorization String 2 × 3 × 7 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 40,320

Proper Divisor Sum 22,722

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #17597 ← → #17599

1 2 3 6 7 14 21 42 419 838 1,257 2,514 2,933 5,866 8,799 17,598

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

17,598 8,799 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022

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