2 × 3² × 1709

Prime Factor Structure

Factorization String 2 × 3^2 × 1709

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 66,690

Proper Divisor Sum 35,928

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #30757 ← → #30763

Radix Representation

Decimal	30762
Binary	111100000101010 (15 bits)
Octal	0o74052
Hexadecimal	0x782A

Divisor Catalog (12)

1 2 3 6 9 18 1,709 3,418 5,127 10,254 15,381 30,762

Collatz Trajectory (54 steps to reach 1)

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

30,762 15,381 46,144 23,072 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 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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