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Ratio Atlas
Atlas › Integer Profiles › Node 36,192
36,192
25 × 3 × 13 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,840
Proper Divisor Sum 69,648
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #36191 ← → #36209

Radix Representation

Decimal 36192
Binary 1000110101100000 (16 bits)
Octal 0o106540
Hexadecimal 0x8D60

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1,131 1,248 1,392 1,508 2,262 2,784 3,016 4,524 6,032 9,048 12,064 18,096 36,192

Collatz Trajectory (41 steps to reach 1)

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

36,192 18,096 9,048 4,524 2,262 1,131 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 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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