λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,540,958
41,540,958
2 × 33 × 821 × 937
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 821 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,524,320
Proper Divisor Sum 50,983,362
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41540957 ← → #41540959

Radix Representation

Decimal 41540958
Binary 10011110011101110101011110 (26 bits)
Octal 0o236356536
Hexadecimal 0x279DD5E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 821 937 1,642 1,874 2,463 2,811 4,926 5,622 7,389 8,433 14,778 16,866 22,167 25,299 44,334 50,598 769,277 1,538,554 2,307,831 4,615,662 6,923,493 13,846,986 20,770,479 41,540,958

Collatz Trajectory (209 steps to reach 1)

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

41,540,958 20,770,479 62,311,438 31,155,719 93,467,158 46,733,579 140,200,738 70,100,369 210,301,108 105,150,554 52,575,277 157,725,832 78,862,916 39,431,458 19,715,729 59,147,188 29,573,594 14,786,797 44,360,392 22,180,196 11,090,098 5,545,049 16,635,148 8,317,574 4,158,787 12,476,362 6,238,181 18,714,544 9,357,272 4,678,636 2,339,318 1,169,659 3,508,978 1,754,489 5,263,468 2,631,734 1,315,867 3,947,602 1,973,801 5,921,404 2,960,702 1,480,351 4,441,054 2,220,527 6,661,582 3,330,791 9,992,374 4,996,187 14,988,562 7,494,281 22,482,844 11,241,422 5,620,711 16,862,134 8,431,067 25,293,202 12,646,601 37,939,804 18,969,902 9,484,951

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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