40,040,084

2² × 7 × 353 × 4051

40,040,084 factors as 2^2 × 7 × 353 × 4051. Its 24 positive divisors give a proper-divisor sum of 40,286,764, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 353 × 4051

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 80,326,848

Proper Divisor Sum 40,286,764

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #40040041 ← → #40040093

Radix Representation

Decimal	40040084
Binary	10011000101111011010010100 (26 bits)
Octal	0o230573224
Hexadecimal	0x262F694

Divisor Catalog (24)

Collatz Trajectory (165 steps to reach 1)

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

40,040,084 20,020,042 10,010,021 30,030,064 15,015,032 7,507,516 3,753,758 1,876,879 5,630,638 2,815,319 8,445,958 4,222,979 12,668,938 6,334,469 19,003,408 9,501,704 4,750,852 2,375,426 1,187,713 3,563,140 1,781,570 890,785 2,672,356 1,336,178 668,089 2,004,268 1,002,134 501,067 1,503,202 751,601 2,254,804 1,127,402 563,701 1,691,104 845,552 422,776 211,388 105,694 52,847 158,542 79,271 237,814 118,907 356,722 178,361 535,084 267,542 133,771 401,314 200,657 601,972 300,986 150,493 451,480 225,740 112,870 56,435 169,306 84,653 253,960

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