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Ratio Atlas
Atlas › Integer Profiles › Node 45,500
45,500
22 × 53 × 7 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 122,304
Proper Divisor Sum 76,804
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #45497 ← → #45503

Radix Representation

Decimal 45500
Binary 1011000110111100 (16 bits)
Octal 0o130674
Hexadecimal 0xB1BC

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 125 130 140 175 182 250 260 325 350 364 455 500 650 700 875 910 1,300 1,625 1,750 1,820 2,275 3,250 3,500 4,550 6,500 9,100 11,375 22,750 45,500

Collatz Trajectory (83 steps to reach 1)

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

45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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