2² × 3 × 7 × 11 × 29

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 80,640

Proper Divisor Sum 53,844

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #26783 ← → #26801

Radix Representation

Decimal	26796
Binary	110100010101100 (15 bits)
Octal	0o64254
Hexadecimal	0x68AC

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1,218 1,276 1,914 2,233 2,436 3,828 4,466 6,699 8,932 13,398 26,796

Collatz Trajectory (139 steps to reach 1)

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

26,796 13,398 6,699 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 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

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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