2² × 3⁶ × 7 × 13

Prime Factor Structure

Factorization String 2^2 × 3^6 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 856,912

Proper Divisor Sum 591,556

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #265339 ← → #265381

Radix Representation

Decimal	265356
Binary	1000000110010001100 (19 bits)
Octal	0o1006214
Hexadecimal	0x40C8C

Divisor Catalog (60 of 84)

1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 729 756 819 972 1,053 1,092 1,134 1,404 1,458 1,638 1,701 2,106 2,268 2,457 2,916

Collatz Trajectory (132 steps to reach 1)

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

265,356 132,678 66,339 199,018 99,509 298,528 149,264 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 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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