2⁶ × 3² × 181

Prime Factor Structure

Factorization String 2^6 × 3^2 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 300,482

Proper Divisor Sum 196,226

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #104243 ← → #104281

Radix Representation

Decimal	104256
Binary	11001011101000000 (17 bits)
Octal	0o313500
Hexadecimal	0x19740

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1,086 1,448 1,629 2,172 2,896 3,258 4,344 5,792 6,516 8,688 11,584 13,032 17,376 26,064 34,752 52,128 104,256

Collatz Trajectory (48 steps to reach 1)

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

104,256 52,128 26,064 13,032 6,516 3,258 1,629 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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