2⁶ × 13 × 47

Prime Factor Structure

Factorization String 2^6 × 13 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 85,344

Proper Divisor Sum 46,240

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #39103 ← → #39107

Radix Representation

Decimal	39104
Binary	1001100011000000 (16 bits)
Octal	0o114300
Hexadecimal	0x98C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1,222 1,504 2,444 3,008 4,888 9,776 19,552 39,104

Collatz Trajectory (44 steps to reach 1)

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

39,104 19,552 9,776 4,888 2,444 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 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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