2² × 3³ × 7² × 31

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 510,720

Proper Divisor Sum 346,668

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #164051 ← → #164057

Radix Representation

Decimal	164052
Binary	101000000011010100 (18 bits)
Octal	0o500324
Hexadecimal	0x280D4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1,116 1,302 1,323 1,519 1,674 1,764 1,953 2,604 2,646 3,038 3,348 3,906 4,557 5,292 5,859

Collatz Trajectory (59 steps to reach 1)

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

164,052 82,026 41,013 123,040 61,520 30,760 15,380 7,690 3,845 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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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