2⁶ × 3⁵

Prime Factor Structure

Factorization String 2^6 × 3^5

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 46,228

Proper Divisor Sum 30,676

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #15551 ← → #15559

Radix Representation

Decimal	15552
Binary	11110011000000 (14 bits)
Octal	0o36300
Hexadecimal	0x3CC0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1,296 1,728 1,944 2,592 3,888 5,184 7,776 15,552

Collatz Trajectory (102 steps to reach 1)

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

15,552 7,776 3,888 1,944 972 486 243 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 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 3,238 1,619 4,858 2,429 7,288 3,644

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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