2⁷ × 3 × 11 × 13

Prime Factor Structure

Factorization String 2^7 × 3 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 171,360

Proper Divisor Sum 116,448

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #54907 ← → #54917

Radix Representation

Decimal	54912
Binary	1101011010000000 (16 bits)
Octal	0o153200
Hexadecimal	0xD680

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1,056 1,144 1,248 1,408 1,664 1,716 2,112 2,288 2,496 3,432 4,224 4,576 4,992 6,864 9,152

Collatz Trajectory (109 steps to reach 1)

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

54,912 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

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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