2² × 3³ × 5 × 7 × 13 × 163

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 13 × 163

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 30,858,240

Proper Divisor Sum 22,848,420

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8009789 ← → #8009831

Radix Representation

Decimal	8009820
Binary	11110100011100001011100 (23 bits)
Octal	0o36434134
Hexadecimal	0x7A385C

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 35 36 39 42 45 52 54 60 63 65 70 78 84 90 91 105 108 117 126 130 135 140 156 163 180 182 189 195 210 234 252 260 270 273 315 326 351 364 378 390

Collatz Trajectory (261 steps to reach 1)

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

8,009,820 4,004,910 2,002,455 6,007,366 3,003,683 9,011,050 4,505,525 13,516,576 6,758,288 3,379,144 1,689,572 844,786 422,393 1,267,180 633,590 316,795 950,386 475,193 1,425,580 712,790 356,395 1,069,186 534,593 1,603,780 801,890 400,945 1,202,836 601,418 300,709 902,128 451,064 225,532 112,766 56,383 169,150 84,575 253,726 126,863 380,590 190,295 570,886 285,443 856,330 428,165 1,284,496 642,248 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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