2⁶ × 3 × 11 × 13

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 85,344

Proper Divisor Sum 57,888

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #27449 ← → #27457

Radix Representation

Decimal	27456
Binary	110101101000000 (15 bits)
Octal	0o65500
Hexadecimal	0x6B40

Divisor Catalog (56)

1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1,056 1,144 1,248 1,716 2,112 2,288 2,496 3,432 4,576 6,864 9,152 13,728 27,456

Collatz Trajectory (108 steps to reach 1)

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

27,456 13,728 6,864 3,432 1,716 858 429 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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