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Ratio Atlas
Atlas › Integer Profiles › Node 36,288
36,288
26 × 34 × 7
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^4 × 7
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 70
Divisor Sum (σ) 122,936
Proper Divisor Sum 86,648
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36277 ← → #36293

Radix Representation

Decimal 36288
Binary 1000110111000000 (16 bits)
Octal 0o106700
Hexadecimal 0x8DC0

Divisor Catalog (60 of 70)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1,008 1,134 1,296 1,344 1,512 1,728 2,016 2,268

Collatz Trajectory (67 steps to reach 1)

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

36,288 18,144 9,072 4,536 2,268 1,134 567 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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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