2⁵ × 3 × 5³

Prime Factor Structure

Factorization String 2^5 × 3 × 5^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 39,312

Proper Divisor Sum 27,312

Digit Sum / Digital Root 3 (Root: 3)

Adjacent Primes #11987 ← → #12007

Radix Representation

Decimal	12000
Binary	10111011100000 (14 bits)
Octal	0o27340
Hexadecimal	0x2EE0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1,000 1,200 1,500 2,000 2,400 3,000 4,000 6,000 12,000

Collatz Trajectory (50 steps to reach 1)

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

12,000 6,000 3,000 1,500 750 375 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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