λ
Ratio Atlas

41,009,435

5 × 31 × 264577
Deficient Odd Composite

41,009,435 factors as 5 × 31 × 264577. Its 8 positive divisors give a proper-divisor sum of 9,789,541, so this integer is deficient. The Collatz stopping time is 359 steps.

Prime Factor Structure

Factorization String 5 × 31 × 264577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 50,798,976
Proper Divisor Sum 9,789,541
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #41009411 ← → #41009447

Radix Representation

Decimal 41009435
Binary 10011100011100000100011011 (26 bits)
Octal 0o234340433
Hexadecimal 0x271C11B

Divisor Catalog (8)

Collatz Trajectory (359 steps to reach 1)

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

41,009,435 123,028,306 61,514,153 184,542,460 92,271,230 46,135,615 138,406,846 69,203,423 207,610,270 103,805,135 311,415,406 155,707,703 467,123,110 233,561,555 700,684,666 350,342,333 1,051,027,000 525,513,500 262,756,750 131,378,375 394,135,126 197,067,563 591,202,690 295,601,345 886,804,036 443,402,018 221,701,009 665,103,028 332,551,514 166,275,757 498,827,272 249,413,636 124,706,818 62,353,409 187,060,228 93,530,114 46,765,057 140,295,172 70,147,586 35,073,793 105,221,380 52,610,690 26,305,345 78,916,036 39,458,018 19,729,009 59,187,028 29,593,514 14,796,757 44,390,272 22,195,136 11,097,568 5,548,784 2,774,392 1,387,196 693,598 346,799 1,040,398 520,199 1,560,598

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