λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,145,656
56,145,656
23 × 7 × 53 × 18917
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 53 × 18917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 122,588,640
Proper Divisor Sum 66,442,984
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #56145647 ← → #56145667

Radix Representation

Decimal 56145656
Binary 11010110001011011011111000 (26 bits)
Octal 0o326133370
Hexadecimal 0x358B6F8

Divisor Catalog (32)

1 2 4 7 8 14 28 53 56 106 212 371 424 742 1,484 2,968 18,917 37,834 75,668 132,419 151,336 264,838 529,676 1,002,601 1,059,352 2,005,202 4,010,404 7,018,207 8,020,808 14,036,414 28,072,828 56,145,656

Collatz Trajectory (132 steps to reach 1)

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

56,145,656 28,072,828 14,036,414 7,018,207 21,054,622 10,527,311 31,581,934 15,790,967 47,372,902 23,686,451 71,059,354 35,529,677 106,589,032 53,294,516 26,647,258 13,323,629 39,970,888 19,985,444 9,992,722 4,996,361 14,989,084 7,494,542 3,747,271 11,241,814 5,620,907 16,862,722 8,431,361 25,294,084 12,647,042 6,323,521 18,970,564 9,485,282 4,742,641 14,227,924 7,113,962 3,556,981 10,670,944 5,335,472 2,667,736 1,333,868 666,934 333,467 1,000,402 500,201 1,500,604 750,302 375,151 1,125,454 562,727 1,688,182 844,091 2,532,274 1,266,137 3,798,412 1,899,206 949,603 2,848,810 1,424,405 4,273,216 2,136,608

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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