λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,763,542
27,763,542
2 × 32 × 37 × 41687
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 41687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 61,781,616
Proper Divisor Sum 34,018,074
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #27763531 ← → #27763543

Radix Representation

Decimal 27763542
Binary 1101001111010001101010110 (25 bits)
Octal 0o151721526
Hexadecimal 0x1A7A356

Divisor Catalog (24)

1 2 3 6 9 18 37 74 111 222 333 666 41,687 83,374 125,061 250,122 375,183 750,366 1,542,419 3,084,838 4,627,257 9,254,514 13,881,771 27,763,542

Collatz Trajectory (105 steps to reach 1)

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

27,763,542 13,881,771 41,645,314 20,822,657 62,467,972 31,233,986 15,616,993 46,850,980 23,425,490 11,712,745 35,138,236 17,569,118 8,784,559 26,353,678 13,176,839 39,530,518 19,765,259 59,295,778 29,647,889 88,943,668 44,471,834 22,235,917 66,707,752 33,353,876 16,676,938 8,338,469 25,015,408 12,507,704 6,253,852 3,126,926 1,563,463 4,690,390 2,345,195 7,035,586 3,517,793 10,553,380 5,276,690 2,638,345 7,915,036 3,957,518 1,978,759 5,936,278 2,968,139 8,904,418 4,452,209 13,356,628 6,678,314 3,339,157 10,017,472 5,008,736 2,504,368 1,252,184 626,092 313,046 156,523 469,570 234,785 704,356 352,178 176,089

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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