2⁷ × 3² × 73

Prime Factor Structure

Factorization String 2^7 × 3^2 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 245,310

Proper Divisor Sum 161,214

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #84089 ← → #84121

Radix Representation

Decimal	84096
Binary	10100100010000000 (17 bits)
Octal	0o244200
Hexadecimal	0x14880

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1,152 1,168 1,314 1,752 2,336 2,628 3,504 4,672 5,256 7,008 9,344 10,512 14,016 21,024 28,032 42,048 84,096

Collatz Trajectory (58 steps to reach 1)

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

84,096 42,048 21,024 10,512 5,256 2,628 1,314 657 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 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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