2⁷ × 7 × 61

Prime Factor Structure

Factorization String 2^7 × 7 × 61

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 126,480

Proper Divisor Sum 71,824

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #54647 ← → #54667

Radix Representation

Decimal	54656
Binary	1101010110000000 (16 bits)
Octal	0o152600
Hexadecimal	0xD580

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1,708 1,952 3,416 3,904 6,832 7,808 13,664 27,328 54,656

Collatz Trajectory (60 steps to reach 1)

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

54,656 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 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

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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