2³ × 3² × 11 × 13

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 32,760

Proper Divisor Sum 22,464

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10289 ← → #10301

Radix Representation

Decimal	10296
Binary	10100000111000 (14 bits)
Octal	0o24070
Hexadecimal	0x2838

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1,144 1,287 1,716 2,574 3,432 5,148 10,296

Collatz Trajectory (148 steps to reach 1)

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

10,296 5,148 2,574 1,287 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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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