2⁸ × 3⁵ × 13

Prime Factor Structure

Factorization String 2^8 × 3^5 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,604,056

Proper Divisor Sum 1,795,352

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #808699 ← → #808721

Radix Representation

Decimal	808704
Binary	11000101011100000000 (20 bits)
Octal	0o3053400
Hexadecimal	0xC5700

Divisor Catalog (60 of 108)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 243 256 288 312 324 351 384 416 432 468 486 576 624 648 702 768 832 864 936 972 1,053 1,152 1,248 1,296

Collatz Trajectory (131 steps to reach 1)

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

808,704 404,352 202,176 101,088 50,544 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

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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