2⁶ × 3 × 5 × 11

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 36,576

Proper Divisor Sum 26,016

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #10559 ← → #10567

Radix Representation

Decimal	10560
Binary	10100101000000 (14 bits)
Octal	0o24500
Hexadecimal	0x2940

Divisor Catalog (56)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1,056 1,320 1,760 2,112 2,640 3,520 5,280 10,560

Collatz Trajectory (117 steps to reach 1)

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

10,560 5,280 2,640 1,320 660 330 165 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 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

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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