3⁵ × 5² × 7 × 19

Prime Factor Structure

Factorization String 3^5 × 5^2 × 7 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,805,440

Proper Divisor Sum 997,465

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #807973 ← → #807997

1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 81 95 105 133 135 171 175 189 225 243 285 315 399 405 475 513 525 567 665 675 855 945 1,197 1,215 1,425 1,539 1,575 1,701 1,995 2,025 2,565 2,835 3,325 3,591 4,275 4,617 4,725 5,985 6,075 7,695 8,505 9,975 10,773 12,825 14,175

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

807,975 2,423,926 1,211,963 3,635,890 1,817,945 5,453,836 2,726,918 1,363,459 4,090,378 2,045,189 6,135,568 3,067,784 1,533,892 766,946 383,473 1,150,420 575,210 287,605 862,816 431,408 215,704 107,852 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752

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