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Ratio Atlas
Atlas › Integer Profiles › Node 105,192
105,192
23 × 33 × 487
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 292,800
Proper Divisor Sum 187,608
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #105173 ← → #105199

Radix Representation

Decimal 105192
Binary 11001101011101000 (17 bits)
Octal 0o315350
Hexadecimal 0x19AE8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 487 974 1,461 1,948 2,922 3,896 4,383 5,844 8,766 11,688 13,149 17,532 26,298 35,064 52,596 105,192

Collatz Trajectory (79 steps to reach 1)

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

105,192 52,596 26,298 13,149 39,448 19,724 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

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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