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Ratio Atlas
Atlas › Integer Profiles › Node 130,536
130,536
23 × 32 × 72 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 422,370
Proper Divisor Sum 291,834
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #130531 ← → #130547

Radix Representation

Decimal 130536
Binary 11111110111101000 (17 bits)
Octal 0o376750
Hexadecimal 0x1FDE8

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 666 777 882 888 1,036 1,176 1,332 1,554 1,764 1,813 2,072 2,331 2,664 3,108 3,528 3,626 4,662 5,439

Collatz Trajectory (69 steps to reach 1)

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

130,536 65,268 32,634 16,317 48,952 24,476 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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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