2² × 7 × 11 × 13²

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 122,976

Proper Divisor Sum 70,924

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #52051 ← → #52057

Radix Representation

Decimal	52052
Binary	1100101101010100 (16 bits)
Octal	0o145524
Hexadecimal	0xCB54

Divisor Catalog (36)

1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1,001 1,183 1,859 2,002 2,366 3,718 4,004 4,732 7,436 13,013 26,026 52,052

Collatz Trajectory (47 steps to reach 1)

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

52,052 26,026 13,013 39,040 19,520 9,760 4,880 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 #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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