8,090,138

2 × 7 × 577867

8,090,138 factors as 2 × 7 × 577867. Its 8 positive divisors give a proper-divisor sum of 5,778,694, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 7 × 577867

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,868,832

Proper Divisor Sum 5,778,694

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8090123 ← → #8090141

Radix Representation

Decimal	8090138
Binary	11110110111001000011010 (23 bits)
Octal	0o36671032
Hexadecimal	0x7B721A

Divisor Catalog (8)

1 2 7 14 577,867 1,155,734 4,045,069 8,090,138

Collatz Trajectory (217 steps to reach 1)

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

8,090,138 4,045,069 12,135,208 6,067,604 3,033,802 1,516,901 4,550,704 2,275,352 1,137,676 568,838 284,419 853,258 426,629 1,279,888 639,944 319,972 159,986 79,993 239,980 119,990 59,995 179,986 89,993 269,980 134,990 67,495 202,486 101,243 303,730 151,865 455,596 227,798 113,899 341,698 170,849 512,548 256,274 128,137 384,412 192,206 96,103 288,310 144,155 432,466 216,233 648,700 324,350 162,175 486,526 243,263 729,790 364,895 1,094,686 547,343 1,642,030 821,015 2,463,046 1,231,523 3,694,570 1,847,285

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