8,097,005

5 × 7² × 33049

8,097,005 factors as 5 × 7^2 × 33049. Its 12 positive divisors give a proper-divisor sum of 3,206,095, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 33049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,303,100

Proper Divisor Sum 3,206,095

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8096999 ← → #8097007

Radix Representation

Decimal	8097005
Binary	11110111000110011101101 (23 bits)
Octal	0o36706355
Hexadecimal	0x7B8CED

Divisor Catalog (12)

1 5 7 35 49 245 33,049 165,245 231,343 1,156,715 1,619,401 8,097,005

Collatz Trajectory (137 steps to reach 1)

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

8,097,005 24,291,016 12,145,508 6,072,754 3,036,377 9,109,132 4,554,566 2,277,283 6,831,850 3,415,925 10,247,776 5,123,888 2,561,944 1,280,972 640,486 320,243 960,730 480,365 1,441,096 720,548 360,274 180,137 540,412 270,206 135,103 405,310 202,655 607,966 303,983 911,950 455,975 1,367,926 683,963 2,051,890 1,025,945 3,077,836 1,538,918 769,459 2,308,378 1,154,189 3,462,568 1,731,284 865,642 432,821 1,298,464 649,232 324,616 162,308 81,154 40,577 121,732 60,866 30,433 91,300 45,650 22,825 68,476 34,238 17,119 51,358

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