2³ × 3 × 13 × 167

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 141,120

Proper Divisor Sum 89,016

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #52103 ← → #52121

Radix Representation

Decimal	52104
Binary	1100101110001000 (16 bits)
Octal	0o145610
Hexadecimal	0xCB88

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 312 334 501 668 1,002 1,336 2,004 2,171 4,008 4,342 6,513 8,684 13,026 17,368 26,052 52,104

Collatz Trajectory (47 steps to reach 1)

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

52,104 26,052 13,026 6,513 19,540 9,770 4,885 14,656 7,328 3,664 1,832 916 458 229 688 344 172 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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