2⁷ × 3 × 5²

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 31,620

Proper Divisor Sum 22,020

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #9587 ← → #9601

Radix Representation

Decimal	9600
Binary	10010110000000 (14 bits)
Octal	0o22600
Hexadecimal	0x2580

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1,200 1,600 1,920 2,400 3,200 4,800 9,600

Collatz Trajectory (21 steps to reach 1)

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

9,600 4,800 2,400 1,200 600 300 150 75 226 113 340 170 85 256 128 64 32 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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