2 × 3² × 5 × 13 × 19²

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,248,156

Proper Divisor Sum 825,786

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #422369 ← → #422377

1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 361 390 494 570 585 722 741 855 1,083 1,170 1,235 1,482 1,710 1,805 2,166 2,223 2,470 3,249 3,610 3,705 4,446 4,693 5,415 6,498 7,410 9,386 10,830 11,115 14,079

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

422,370 211,185 633,556 316,778 158,389 475,168 237,584 118,792 59,396 29,698 14,849 44,548 22,274 11,137 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

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