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Atlas › Integer Profiles › Node 41,009,682

41,009,682

2 × 3 × 7 × 557 × 1753
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 557 × 1753
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,958,272
Proper Divisor Sum 52,948,590
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41009677 ← → #41009699

Radix Representation

Decimal 41009682
Binary 10011100011100001000010010 (26 bits)
Octal 0o234341022
Hexadecimal 0x271C212

Divisor Catalog (32)

1 2 3 6 7 14 21 42 557 1,114 1,671 1,753 3,342 3,506 3,899 5,259 7,798 10,518 11,697 12,271 23,394 24,542 36,813 73,626 976,421 1,952,842 2,929,263 5,858,526 6,834,947 13,669,894 20,504,841 41,009,682

Collatz Trajectory (359 steps to reach 1)

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

41,009,682 20,504,841 61,514,524 30,757,262 15,378,631 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

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