2⁵ × 3² × 7 × 29

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 196,560

Proper Divisor Sum 138,096

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #58453 ← → #58477

Radix Representation

Decimal	58464
Binary	1110010001100000 (16 bits)
Octal	0o162140
Hexadecimal	0xE460

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1,008 1,044 1,218 1,392 1,624 1,827 2,016 2,088 2,436 2,784

Collatz Trajectory (135 steps to reach 1)

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

58,464 29,232 14,616 7,308 3,654 1,827 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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