λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,200,734
5,200,734
2 × 3 × 7 × 11 × 11257
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 11257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,969,216
Proper Divisor Sum 7,768,482
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5200729 ← → #5200751

Radix Representation

Decimal 5200734
Binary 10011110101101101011110 (23 bits)
Octal 0o23655536
Hexadecimal 0x4F5B5E

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 11,257 22,514 33,771 67,542 78,799 123,827 157,598 236,397 247,654 371,481 472,794 742,962 866,789 1,733,578 2,600,367 5,200,734

Collatz Trajectory (126 steps to reach 1)

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

5,200,734 2,600,367 7,801,102 3,900,551 11,701,654 5,850,827 17,552,482 8,776,241 26,328,724 13,164,362 6,582,181 19,746,544 9,873,272 4,936,636 2,468,318 1,234,159 3,702,478 1,851,239 5,553,718 2,776,859 8,330,578 4,165,289 12,495,868 6,247,934 3,123,967 9,371,902 4,685,951 14,057,854 7,028,927 21,086,782 10,543,391 31,630,174 15,815,087 47,445,262 23,722,631 71,167,894 35,583,947 106,751,842 53,375,921 160,127,764 80,063,882 40,031,941 120,095,824 60,047,912 30,023,956 15,011,978 7,505,989 22,517,968 11,258,984 5,629,492 2,814,746 1,407,373 4,222,120 2,111,060 1,055,530 527,765 1,583,296 791,648 395,824 197,912

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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