2⁴ × 3 × 17 × 23

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 53,568

Proper Divisor Sum 34,800

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #18757 ← → #18773

Radix Representation

Decimal	18768
Binary	100100101010000 (15 bits)
Octal	0o44520
Hexadecimal	0x4950

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1,104 1,173 1,564 2,346 3,128 4,692 6,256 9,384 18,768

Collatz Trajectory (123 steps to reach 1)

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

18,768 9,384 4,692 2,346 1,173 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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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