2³ × 3⁵ × 13

Prime Factor Structure

Factorization String 2^3 × 3^5 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 76,440

Proper Divisor Sum 51,168

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #25261 ← → #25301

Radix Representation

Decimal	25272
Binary	110001010111000 (15 bits)
Octal	0o61270
Hexadecimal	0x62B8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1,053 1,404 1,944 2,106 2,808 3,159 4,212 6,318 8,424 12,636 25,272

Collatz Trajectory (126 steps to reach 1)

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

25,272 12,636 6,318 3,159 9,478 4,739 14,218 7,109 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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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