2² × 3 × 5 × 7 × 41 × 47

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 41 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,709,504

Proper Divisor Sum 1,900,164

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #809339 ← → #809357

Radix Representation

Decimal	809340
Binary	11000101100101111100 (20 bits)
Octal	0o3054574
Hexadecimal	0xC597C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 47 60 70 82 84 94 105 123 140 141 164 188 205 210 235 246 282 287 329 410 420 470 492 564 574 615 658 705 820 861 940 987 1,148 1,230 1,316 1,410 1,435 1,645 1,722 1,927 1,974 2,460

Collatz Trajectory (100 steps to reach 1)

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

809,340 404,670 202,335 607,006 303,503 910,510 455,255 1,365,766 682,883 2,048,650 1,024,325 3,072,976 1,536,488 768,244 384,122 192,061 576,184 288,092 144,046 72,023 216,070 108,035 324,106 162,053 486,160 243,080 121,540 60,770 30,385 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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