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Math Directory

8,500,284

22 × 32 × 13 × 41 × 443
Abundant Even Composite

8,500,284 factors as 2^2 × 3^2 × 13 × 41 × 443. Its 72 positive divisors give a proper-divisor sum of 15,257,268, so this integer is abundant. The Collatz stopping time is 168 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 41 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,757,552
Proper Divisor Sum 15,257,268
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8500259 ← → #8500309

Radix Representation

Decimal 8500284
Binary 100000011011010000111100 (24 bits)
Octal 0o40332074
Hexadecimal 0x81B43C

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (168 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,500,284 4,250,142 2,125,071 6,375,214 3,187,607

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