2⁷ × 3⁴ × 29

Prime Factor Structure

Factorization String 2^7 × 3^4 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 925,650

Proper Divisor Sum 624,978

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #300667 ← → #300673

Radix Representation

Decimal	300672
Binary	1001001011010000000 (19 bits)
Octal	0o1113200
Hexadecimal	0x49680

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1,044 1,152 1,296 1,392 1,566 1,728 1,856 2,088 2,349 2,592 2,784 3,132 3,456 3,712

Collatz Trajectory (127 steps to reach 1)

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

300,672 150,336 75,168 37,584 18,792 9,396 4,698 2,349 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 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

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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