2² × 3⁵ × 7 × 17

Prime Factor Structure

Factorization String 2^2 × 3^5 × 7 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 366,912

Proper Divisor Sum 251,244

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #115663 ← → #115679

Radix Representation

Decimal	115668
Binary	11100001111010100 (17 bits)
Octal	0o341724
Hexadecimal	0x1C3D4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1,071 1,134 1,377 1,428 1,701 1,836 2,142 2,268 2,754 3,213 3,402 4,131 4,284

Collatz Trajectory (123 steps to reach 1)

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

115,668 57,834 28,917 86,752 43,376 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 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 1,336 668 334 167 502 251 754

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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