2⁶ × 3 × 271

Prime Factor Structure

Factorization String 2^6 × 3 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 138,176

Proper Divisor Sum 86,144

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #52027 ← → #52051

Radix Representation

Decimal	52032
Binary	1100101101000000 (16 bits)
Octal	0o145500
Hexadecimal	0xCB40

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1,084 1,626 2,168 3,252 4,336 6,504 8,672 13,008 17,344 26,016 52,032

Collatz Trajectory (47 steps to reach 1)

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

52,032 26,016 13,008 6,504 3,252 1,626 813 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 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 #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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