2⁴ × 3 × 7² × 13

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 98,952

Proper Divisor Sum 68,376

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #30559 ← → #30577

Radix Representation

Decimal	30576
Binary	111011101110000 (15 bits)
Octal	0o73560
Hexadecimal	0x7770

Divisor Catalog (60)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1,092 1,176 1,274 1,456 1,911 2,184 2,352 2,548 3,822 4,368 5,096 7,644 10,192 15,288 30,576

Collatz Trajectory (33 steps to reach 1)

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

30,576 15,288 7,644 3,822 1,911 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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