2⁵ × 3 × 7 × 41

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 84,672

Proper Divisor Sum 57,120

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #27551 ← → #27581

Radix Representation

Decimal	27552
Binary	110101110100000 (15 bits)
Octal	0o65640
Hexadecimal	0x6BA0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1,148 1,312 1,722 1,968 2,296 3,444 3,936 4,592 6,888 9,184 13,776 27,552

Collatz Trajectory (108 steps to reach 1)

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

27,552 13,776 6,888 3,444 1,722 861 2,584 1,292 646 323 970 485 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 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

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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