2⁵ × 3 × 5² × 11

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 93,744

Proper Divisor Sum 67,344

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #26399 ← → #26407

Radix Representation

Decimal	26400
Binary	110011100100000 (15 bits)
Octal	0o63440
Hexadecimal	0x6720

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1,056 1,100 1,200 1,320

Collatz Trajectory (139 steps to reach 1)

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

26,400 13,200 6,600 3,300 1,650 825 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 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

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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