2⁶ × 3 × 7 × 19

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 81,280

Proper Divisor Sum 55,744

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #25523 ← → #25537

Radix Representation

Decimal	25536
Binary	110001111000000 (15 bits)
Octal	0o61700
Hexadecimal	0x63C0

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1,064 1,216 1,344 1,596 1,824 2,128 3,192 3,648 4,256 6,384 8,512 12,768 25,536

Collatz Trajectory (126 steps to reach 1)

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

25,536 12,768 6,384 3,192 1,596 798 399 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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