2⁴ × 7 × 13 × 23

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 83,328

Proper Divisor Sum 49,840

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #33487 ← → #33493

Radix Representation

Decimal	33488
Binary	1000001011010000 (16 bits)
Octal	0o101320
Hexadecimal	0x82D0

Divisor Catalog (40)

1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1,196 1,288 1,456 2,093 2,392 2,576 4,186 4,784 8,372 16,744 33,488

Collatz Trajectory (129 steps to reach 1)

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

33,488 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 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

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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