2⁶ × 3³ × 5²

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 157,480

Proper Divisor Sum 114,280

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #43189 ← → #43201

Radix Representation

Decimal	43200
Binary	1010100011000000 (16 bits)
Octal	0o124300
Hexadecimal	0xA8C0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 135 144 150 160 180 192 200 216 225 240 270 288 300 320 360 400 432 450 480 540 576 600 675 720 800

Collatz Trajectory (119 steps to reach 1)

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

43,200 21,600 10,800 5,400 2,700 1,350 675 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

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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