40,040,090

2 × 5 × 4004009

40,040,090 factors as 2 × 5 × 4004009. Its 8 positive divisors give a proper-divisor sum of 32,032,090, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 5 × 4004009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 72,072,180

Proper Divisor Sum 32,032,090

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #40040041 ← → #40040093

Radix Representation

Decimal	40040090
Binary	10011000101111011010011010 (26 bits)
Octal	0o230573232
Hexadecimal	0x262F69A

Divisor Catalog (8)

1 2 5 10 4,004,009 8,008,018 20,020,045 40,040,090

Collatz Trajectory (165 steps to reach 1)

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

40,040,090 20,020,045 60,060,136 30,030,068 15,015,034 7,507,517 22,522,552 11,261,276 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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