40,040,026

2 × 13 × 41 × 37561

40,040,026 factors as 2 × 13 × 41 × 37561. Its 16 positive divisors give a proper-divisor sum of 26,219,342, so this integer is deficient. The Collatz stopping time is 421 steps.

Prime Factor Structure

Factorization String 2 × 13 × 41 × 37561

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 66,259,368

Proper Divisor Sum 26,219,342

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #40040017 ← → #40040027

Radix Representation

Decimal	40040026
Binary	10011000101111011001011010 (26 bits)
Octal	0o230573132
Hexadecimal	0x262F65A

Divisor Catalog (16)

1 2 13 26 41 82 533 1,066 37,561 75,122 488,293 976,586 1,540,001 3,080,002 20,020,013 40,040,026

Collatz Trajectory (421 steps to reach 1)

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

40,040,026 20,020,013 60,060,040 30,030,020 15,015,010 7,507,505 22,522,516 11,261,258 5,630,629 16,891,888 8,445,944 4,222,972 2,111,486 1,055,743 3,167,230 1,583,615 4,750,846 2,375,423 7,126,270 3,563,135 10,689,406 5,344,703 16,034,110 8,017,055 24,051,166 12,025,583 36,076,750 18,038,375 54,115,126 27,057,563 81,172,690 40,586,345 121,759,036 60,879,518 30,439,759 91,319,278 45,659,639 136,978,918 68,489,459 205,468,378 102,734,189 308,202,568 154,101,284 77,050,642 38,525,321 115,575,964 57,787,982 28,893,991 86,681,974 43,340,987 130,022,962 65,011,481 195,034,444 97,517,222 48,758,611 146,275,834 73,137,917 219,413,752 109,706,876 54,853,438

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