2⁶ × 7 × 107

Prime Factor Structure

Factorization String 2^6 × 7 × 107

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 109,728

Proper Divisor Sum 61,792

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #47933 ← → #47939

Radix Representation

Decimal	47936
Binary	1011101101000000 (16 bits)
Octal	0o135500
Hexadecimal	0xBB40

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1,498 1,712 2,996 3,424 5,992 6,848 11,984 23,968 47,936

Collatz Trajectory (52 steps to reach 1)

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

47,936 23,968 11,984 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 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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