2⁸ × 3 × 5³

Prime Factor Structure

Factorization String 2^8 × 3 × 5^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 318,864

Proper Divisor Sum 222,864

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #95989 ← → #96001

Radix Representation

Decimal	96000
Binary	10111011100000000 (17 bits)
Octal	0o273400
Hexadecimal	0x17700

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1,000 1,200 1,280 1,500 1,600 1,920 2,000 2,400 3,000 3,200 3,840 4,000

Collatz Trajectory (53 steps to reach 1)

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

96,000 48,000 24,000 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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