2⁴ × 3253

Prime Factor Structure

Factorization String 2^4 × 3253

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 100,874

Proper Divisor Sum 48,826

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #52027 ← → #52051

Radix Representation

Decimal	52048
Binary	1100101101010000 (16 bits)
Octal	0o145520
Hexadecimal	0xCB50

Divisor Catalog (10)

1 2 4 8 16 3,253 6,506 13,012 26,024 52,048

Collatz Trajectory (47 steps to reach 1)

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

52,048 26,024 13,012 6,506 3,253 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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