2⁶ × 3⁵ × 17

Prime Factor Structure

Factorization String 2^6 × 3^5 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 832,104

Proper Divisor Sum 567,720

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #264371 ← → #264391

Radix Representation

Decimal	264384
Binary	1000000100011000000 (19 bits)
Octal	0o1004300
Hexadecimal	0x408C0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 243 272 288 306 324 408 432 459 486 544 576 612 648 816 864 918 972 1,088 1,224 1,296 1,377 1,632 1,728 1,836 1,944 2,448 2,592

Collatz Trajectory (132 steps to reach 1)

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

264,384 132,192 66,096 33,048 16,524 8,262 4,131 12,394 6,197 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 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

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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