2³ × 3 × 7² × 11

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 41,040

Proper Divisor Sum 28,104

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #12923 ← → #12941

Radix Representation

Decimal	12936
Binary	11001010001000 (14 bits)
Octal	0o31210
Hexadecimal	0x3288

Divisor Catalog (48)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1,078 1,176 1,617 1,848 2,156 3,234 4,312 6,468 12,936

Collatz Trajectory (50 steps to reach 1)

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

12,936 6,468 3,234 1,617 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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 #6,449,649 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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