2⁴ × 3² × 5 × 17²

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 742,326

Proper Divisor Sum 534,246

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #208073 ← → #208099

Radix Representation

Decimal	208080
Binary	110010110011010000 (18 bits)
Octal	0o626320
Hexadecimal	0x32CD0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 289 306 340 360 408 510 578 612 680 720 765 816 867 1,020 1,156 1,224 1,360 1,445 1,530 1,734

Collatz Trajectory (142 steps to reach 1)

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

208,080 104,040 52,020 26,010 13,005 39,016 19,508 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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