2⁸ × 7 × 29

Prime Factor Structure

Factorization String 2^8 × 7 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 122,640

Proper Divisor Sum 70,672

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #51949 ← → #51971

Radix Representation

Decimal	51968
Binary	1100101100000000 (16 bits)
Octal	0o145400
Hexadecimal	0xCB00

Divisor Catalog (36)

1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1,624 1,792 1,856 3,248 3,712 6,496 7,424 12,992 25,984 51,968

Collatz Trajectory (47 steps to reach 1)

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

51,968 25,984 12,992 6,496 3,248 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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