2⁵ × 3 × 17 × 23

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 108,864

Proper Divisor Sum 71,328

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #37529 ← → #37537

Radix Representation

Decimal	37536
Binary	1001001010100000 (16 bits)
Octal	0o111240
Hexadecimal	0x92A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1,104 1,173 1,564 1,632 2,208 2,346 3,128 4,692 6,256 9,384 12,512 18,768 37,536

Collatz Trajectory (124 steps to reach 1)

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

37,536 18,768 9,384 4,692 2,346 1,173 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 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

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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