2 × 3 × 13 × 167

Prime Factor Structure

Factorization String 2 × 3 × 13 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,224

Proper Divisor Sum 15,198

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #13009 ← → #13033

Radix Representation

Decimal	13026
Binary	11001011100010 (14 bits)
Octal	0o31342
Hexadecimal	0x32E2

Divisor Catalog (16)

1 2 3 6 13 26 39 78 167 334 501 1,002 2,171 4,342 6,513 13,026

Collatz Trajectory (45 steps to reach 1)

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

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 #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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