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Ratio Atlas
Atlas › Integer Profiles › Node 123,192
123,192
23 × 32 × 29 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 29 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 351,000
Proper Divisor Sum 227,808
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #123191 ← → #123203

Radix Representation

Decimal 123192
Binary 11110000100111000 (17 bits)
Octal 0o360470
Hexadecimal 0x1E138

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 29 36 58 59 72 87 116 118 174 177 232 236 261 348 354 472 522 531 696 708 1,044 1,062 1,416 1,711 2,088 2,124 3,422 4,248 5,133 6,844 10,266 13,688 15,399 20,532 30,798 41,064 61,596 123,192

Collatz Trajectory (149 steps to reach 1)

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

123,192 61,596 30,798 15,399 46,198 23,099 69,298 34,649 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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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