λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,009,683
41,009,683
112 × 13 × 292 × 31
Deficient Odd Composite

Prime Factor Structure

Factorization String 11^2 × 13 × 29^2 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 51,897,664
Proper Divisor Sum 10,887,981
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #41009677 ← → #41009699

Radix Representation

Decimal 41009683
Binary 10011100011100001000010011 (26 bits)
Octal 0o234341023
Hexadecimal 0x271C213

Divisor Catalog (36)

1 11 13 29 31 121 143 319 341 377 403 841 899 1,573 3,509 3,751 4,147 4,433 9,251 9,889 10,933 11,687 26,071 45,617 48,763 101,761 108,779 120,263 128,557 286,781 338,923 1,322,893 1,414,127 3,154,591 3,728,153 41,009,683

Collatz Trajectory (359 steps to reach 1)

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

41,009,683 123,029,050 61,514,525 184,543,576 92,271,788 46,135,894 23,067,947 69,203,842 34,601,921 103,805,764 51,902,882 25,951,441 77,854,324 38,927,162 19,463,581 58,390,744 29,195,372 14,597,686 7,298,843 21,896,530 10,948,265 32,844,796 16,422,398 8,211,199 24,633,598 12,316,799 36,950,398 18,475,199 55,425,598 27,712,799 83,138,398 41,569,199 124,707,598 62,353,799 187,061,398 93,530,699 280,592,098 140,296,049 420,888,148 210,444,074 105,222,037 315,666,112 157,833,056 78,916,528 39,458,264 19,729,132 9,864,566 4,932,283 14,796,850 7,398,425 22,195,276 11,097,638 5,548,819 16,646,458 8,323,229 24,969,688 12,484,844 6,242,422 3,121,211 9,363,634

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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