40,040,077

7 × 11 × 331 × 1571

40,040,077 factors as 7 × 11 × 331 × 1571. Its 16 positive divisors give a proper-divisor sum of 10,062,707, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 7 × 11 × 331 × 1571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 50,102,784

Proper Divisor Sum 10,062,707

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #40040041 ← → #40040093

Radix Representation

Decimal	40040077
Binary	10011000101111011010001101 (26 bits)
Octal	0o230573215
Hexadecimal	0x262F68D

Divisor Catalog (16)

1 7 11 77 331 1,571 2,317 3,641 10,997 17,281 25,487 120,967 520,001 3,640,007 5,720,011 40,040,077

Collatz Trajectory (165 steps to reach 1)

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

40,040,077 120,120,232 60,060,116 30,030,058 15,015,029 45,045,088 22,522,544 11,261,272 5,630,636 2,815,318 1,407,659 4,222,978 2,111,489 6,334,468 3,167,234 1,583,617 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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