2 × 3² × 7 × 13 × 23

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 104,832

Proper Divisor Sum 67,158

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #37663 ← → #37691

Radix Representation

Decimal	37674
Binary	1001001100101010 (16 bits)
Octal	0o111452
Hexadecimal	0x932A

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 117 126 138 161 182 207 234 273 299 322 414 483 546 598 819 897 966 1,449 1,638 1,794 2,093 2,691 2,898 4,186 5,382 6,279 12,558 18,837 37,674

Collatz Trajectory (36 steps to reach 1)

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

37,674 18,837 56,512 28,256 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 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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