2⁹ × 3² × 7

Prime Factor Structure

Factorization String 2^9 × 3^2 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 106,392

Proper Divisor Sum 74,136

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #32251 ← → #32257

Radix Representation

Decimal	32256
Binary	111111000000000 (15 bits)
Octal	0o77000
Hexadecimal	0x7E00

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1,008 1,152 1,344 1,536 1,792 2,016 2,304 2,688 3,584 4,032 4,608 5,376 8,064 10,752 16,128 32,256

Collatz Trajectory (116 steps to reach 1)

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

32,256 16,128 8,064 4,032 2,016 1,008 504 252 126 63 190 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 1,132 566 283 850 425 1,276

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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