2³ × 3² × 5³

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 30,420

Proper Divisor Sum 21,420

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #8999 ← → #9001

Radix Representation

Decimal	9000
Binary	10001100101000 (14 bits)
Octal	0o21450
Hexadecimal	0x2328

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1,000 1,125 1,500 1,800 2,250 3,000 4,500 9,000

Collatz Trajectory (47 steps to reach 1)

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

9,000 4,500 2,250 1,125 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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