2³ × 3² × 13 × 29

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 81,900

Proper Divisor Sum 54,756

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27143 ← → #27179

Radix Representation

Decimal	27144
Binary	110101000001000 (15 bits)
Octal	0o65010
Hexadecimal	0x6A08

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1,044 1,131 1,508 2,088 2,262 3,016 3,393 4,524 6,786 9,048 13,572 27,144

Collatz Trajectory (46 steps to reach 1)

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

27,144 13,572 6,786 3,393 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 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 #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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