2⁴ × 3³ × 71

Prime Factor Structure

Factorization String 2^4 × 3^3 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 89,280

Proper Divisor Sum 58,608

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #30671 ← → #30677

Radix Representation

Decimal	30672
Binary	111011111010000 (15 bits)
Octal	0o73720
Hexadecimal	0x77D0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1,136 1,278 1,704 1,917 2,556 3,408 3,834 5,112 7,668 10,224 15,336 30,672

Collatz Trajectory (59 steps to reach 1)

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

30,672 15,336 7,668 3,834 1,917 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 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 #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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