2² × 3² × 5 × 7 × 409

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 409

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,790,880

Proper Divisor Sum 1,275,540

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #515323 ← → #515351

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 409 420 630 818 1,227 1,260 1,636 2,045 2,454 2,863 3,681 4,090 4,908 5,726 6,135 7,362 8,180 8,589 11,452 12,270 14,315 14,724 17,178 18,405 24,540 25,767 28,630

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

515,340 257,670 128,835 386,506 193,253 579,760 289,880 144,940 72,470 36,235 108,706 54,353 163,060 81,530 40,765 122,296 61,148 30,574 15,287 45,862 22,931 68,794 34,397 103,192 51,596 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280

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