8,090,133

3 × 673 × 4007

8,090,133 factors as 3 × 673 × 4007. Its 8 positive divisors give a proper-divisor sum of 2,715,435, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 673 × 4007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,805,568

Proper Divisor Sum 2,715,435

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8090123 ← → #8090141

Radix Representation

Decimal	8090133
Binary	11110110111001000010101 (23 bits)
Octal	0o36671025
Hexadecimal	0x7B7215

Divisor Catalog (8)

1 3 673 2,019 4,007 12,021 2,696,711 8,090,133

Collatz Trajectory (217 steps to reach 1)

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

8,090,133 24,270,400 12,135,200 6,067,600 3,033,800 1,516,900 758,450 379,225 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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