λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,003,682
41,003,682
2 × 3 × 43 × 103 × 1543
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 43 × 103 × 1543
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,784,128
Proper Divisor Sum 43,780,446
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41003681 ← → #41003717

Radix Representation

Decimal 41003682
Binary 10011100011010101010100010 (26 bits)
Octal 0o234325242
Hexadecimal 0x271AAA2

Divisor Catalog (32)

1 2 3 6 43 86 103 129 206 258 309 618 1,543 3,086 4,429 4,629 8,858 9,258 13,287 26,574 66,349 132,698 158,929 199,047 317,858 398,094 476,787 953,574 6,833,947 13,667,894 20,501,841 41,003,682

Collatz Trajectory (214 steps to reach 1)

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

41,003,682 20,501,841 61,505,524 30,752,762 15,376,381 46,129,144 23,064,572 11,532,286 5,766,143 17,298,430 8,649,215 25,947,646 12,973,823 38,921,470 19,460,735 58,382,206 29,191,103 87,573,310 43,786,655 131,359,966 65,679,983 197,039,950 98,519,975 295,559,926 147,779,963 443,339,890 221,669,945 665,009,836 332,504,918 166,252,459 498,757,378 249,378,689 748,136,068 374,068,034 187,034,017 561,102,052 280,551,026 140,275,513 420,826,540 210,413,270 105,206,635 315,619,906 157,809,953 473,429,860 236,714,930 118,357,465 355,072,396 177,536,198 88,768,099 266,304,298 133,152,149 399,456,448 199,728,224 99,864,112 49,932,056 24,966,028 12,483,014 6,241,507 18,724,522 9,362,261

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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