2⁹ × 3³

Prime Factor Structure

Factorization String 2^9 × 3^3

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 40,920

Proper Divisor Sum 27,096

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #13807 ← → #13829

Radix Representation

Decimal	13824
Binary	11011000000000 (14 bits)
Octal	0o33000
Hexadecimal	0x3600

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1,152 1,536 1,728 2,304 3,456 4,608 6,912 13,824

Collatz Trajectory (120 steps to reach 1)

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

13,824 6,912 3,456 1,728 864 432 216 108 54 27 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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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