2⁹ × 3 × 11

Prime Factor Structure

Factorization String 2^9 × 3 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 49,104

Proper Divisor Sum 32,208

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #16889 ← → #16901

Radix Representation

Decimal	16896
Binary	100001000000000 (15 bits)
Octal	0o41000
Hexadecimal	0x4200

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1,056 1,408 1,536 2,112 2,816 4,224 5,632 8,448 16,896

Collatz Trajectory (35 steps to reach 1)

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

16,896 8,448 4,224 2,112 1,056 528 264 132 66 33 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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