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Ratio Atlas
Atlas › Integer Profiles › Node 49,500
49,500
22 × 32 × 53 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 170,352
Proper Divisor Sum 120,852
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #49499 ← → #49523

Radix Representation

Decimal 49500
Binary 1100000101011100 (16 bits)
Octal 0o140534
Hexadecimal 0xC15C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 660 750 825 900 990 1,100 1,125 1,375 1,500 1,650 1,980 2,250 2,475

Collatz Trajectory (65 steps to reach 1)

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

49,500 24,750 12,375 37,126 18,563 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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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