2 × 3² × 5² × 29 × 31

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,160,640

Proper Divisor Sum 756,090

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #404539 ← → #404557

1 2 3 5 6 9 10 15 18 25 29 30 31 45 50 58 62 75 87 90 93 145 150 155 174 186 225 261 279 290 310 435 450 465 522 558 725 775 870 899 930 1,305 1,395 1,450 1,550 1,798 2,175 2,325 2,610 2,697 2,790 4,350 4,495 4,650 5,394 6,525 6,975 8,091 8,990 13,050

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

404,550 202,275 606,826 303,413 910,240 455,120 227,560 113,780 56,890 28,445 85,336 42,668 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428

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