2 × 3 × 5⁵ × 37

Prime Factor Structure

Factorization String 2 × 3 × 5^5 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,781,136

Proper Divisor Sum 1,087,386

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #693743 ← → #693757

1 2 3 5 6 10 15 25 30 37 50 74 75 111 125 150 185 222 250 370 375 555 625 750 925 1,110 1,250 1,850 1,875 2,775 3,125 3,750 4,625 5,550 6,250 9,250 9,375 13,875 18,750 23,125 27,750 46,250 69,375 115,625 138,750 231,250 346,875 693,750

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

693,750 346,875 1,040,626 520,313 1,560,940 780,470 390,235 1,170,706 585,353 1,756,060 878,030 439,015 1,317,046 658,523 1,975,570 987,785 2,963,356 1,481,678 740,839 2,222,518 1,111,259 3,333,778 1,666,889 5,000,668 2,500,334 1,250,167 3,750,502 1,875,251 5,625,754 2,812,877 8,438,632 4,219,316 2,109,658 1,054,829 3,164,488 1,582,244 791,122 395,561 1,186,684 593,342 296,671 890,014 445,007 1,335,022 667,511 2,002,534 1,001,267 3,003,802 1,501,901 4,505,704 2,252,852 1,126,426 563,213 1,689,640 844,820 422,410 211,205 633,616 316,808 158,404

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