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Ratio Atlas
Atlas › Integer Profiles › Node 509,488
509,488
24 × 7 × 4549
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 4549
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,128,400
Proper Divisor Sum 618,912
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #509477 ← → #509513

Radix Representation

Decimal 509488
Binary 1111100011000110000 (19 bits)
Octal 0o1743060
Hexadecimal 0x7C630

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 4,549 9,098 18,196 31,843 36,392 63,686 72,784 127,372 254,744 509,488

Collatz Trajectory (151 steps to reach 1)

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

509,488 254,744 127,372 63,686 31,843 95,530 47,765 143,296 71,648 35,824 17,912 8,956 4,478 2,239 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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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