2⁸ × 3² × 11

Prime Factor Structure

Factorization String 2^8 × 3^2 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 79,716

Proper Divisor Sum 54,372

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #25343 ← → #25349

Radix Representation

Decimal	25344
Binary	110001100000000 (15 bits)
Octal	0o61400
Hexadecimal	0x6300

Divisor Catalog (54)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1,056 1,152 1,408 1,584 2,112 2,304 2,816 3,168 4,224 6,336 8,448 12,672 25,344

Collatz Trajectory (33 steps to reach 1)

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

25,344 12,672 6,336 3,168 1,584 792 396 198 99 298 149 448 224 112 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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