2⁶ × 3 × 7 × 29

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 121,920

Proper Divisor Sum 82,944

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #38971 ← → #38977

Radix Representation

Decimal	38976
Binary	1001100001000000 (16 bits)
Octal	0o114100
Hexadecimal	0x9840

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1,218 1,344 1,392 1,624 1,856 2,436 2,784 3,248 4,872 5,568 6,496 9,744 12,992 19,488 38,976

Collatz Trajectory (137 steps to reach 1)

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

38,976 19,488 9,744 4,872 2,436 1,218 609 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 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

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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