λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,220,138
56,220,138
2 × 32 × 13 × 240257
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 240257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 131,180,868
Proper Divisor Sum 74,960,730
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #56220127 ← → #56220161

Radix Representation

Decimal 56220138
Binary 11010110011101100111101010 (26 bits)
Octal 0o326354752
Hexadecimal 0x359D9EA

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 240,257 480,514 720,771 1,441,542 2,162,313 3,123,341 4,324,626 6,246,682 9,370,023 18,740,046 28,110,069 56,220,138

Collatz Trajectory (155 steps to reach 1)

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

56,220,138 28,110,069 84,330,208 42,165,104 21,082,552 10,541,276 5,270,638 2,635,319 7,905,958 3,952,979 11,858,938 5,929,469 17,788,408 8,894,204 4,447,102 2,223,551 6,670,654 3,335,327 10,005,982 5,002,991 15,008,974 7,504,487 22,513,462 11,256,731 33,770,194 16,885,097 50,655,292 25,327,646 12,663,823 37,991,470 18,995,735 56,987,206 28,493,603 85,480,810 42,740,405 128,221,216 64,110,608 32,055,304 16,027,652 8,013,826 4,006,913 12,020,740 6,010,370 3,005,185 9,015,556 4,507,778 2,253,889 6,761,668 3,380,834 1,690,417 5,071,252 2,535,626 1,267,813 3,803,440 1,901,720 950,860 475,430 237,715 713,146 356,573

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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