8,090,528

2⁵ × 252829

8,090,528 factors as 2^5 × 252829. Its 12 positive divisors give a proper-divisor sum of 7,837,762, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 252829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,928,290

Proper Divisor Sum 7,837,762

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8090497 ← → #8090539

Radix Representation

Decimal	8090528
Binary	11110110111001110100000 (23 bits)
Octal	0o36671640
Hexadecimal	0x7B73A0

Divisor Catalog (12)

1 2 4 8 16 32 252,829 505,658 1,011,316 2,022,632 4,045,264 8,090,528

Collatz Trajectory (137 steps to reach 1)

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

8,090,528 4,045,264 2,022,632 1,011,316 505,658 252,829 758,488 379,244 189,622 94,811 284,434 142,217 426,652 213,326 106,663 319,990 159,995 479,986 239,993 719,980 359,990 179,995 539,986 269,993 809,980 404,990 202,495 607,486 303,743 911,230 455,615 1,366,846 683,423 2,050,270 1,025,135 3,075,406 1,537,703 4,613,110 2,306,555 6,919,666 3,459,833 10,379,500 5,189,750 2,594,875 7,784,626 3,892,313 11,676,940 5,838,470 2,919,235 8,757,706 4,378,853 13,136,560 6,568,280 3,284,140 1,642,070 821,035 2,463,106 1,231,553 3,694,660 1,847,330

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