2² × 3 × 7 × 13 × 17

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 56,448

Proper Divisor Sum 37,884

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #18553 ← → #18583

Radix Representation

Decimal	18564
Binary	100100010000100 (15 bits)
Octal	0o44204
Hexadecimal	0x4884

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1,092 1,326 1,428 1,547 2,652 3,094 4,641 6,188 9,282 18,564

Collatz Trajectory (61 steps to reach 1)

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

18,564 9,282 4,641 13,924 6,962 3,481 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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