2⁴ × 3² × 5 × 419

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,015,560

Proper Divisor Sum 713,880

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #301673 ← → #301681

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 419 720 838 1,257 1,676 2,095 2,514 3,352 3,771 4,190 5,028 6,285 6,704 7,542 8,380 10,056 12,570 15,084 16,760 18,855 20,112 25,140 30,168 33,520 37,710 50,280 60,336 75,420 100,560 150,840 301,680

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

301,680 150,840 75,420 37,710 18,855 56,566 28,283 84,850 42,425 127,276 63,638 31,819 95,458 47,729 143,188 71,594 35,797 107,392 53,696 26,848 13,424 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924

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