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Math Directory

8,200,308

22 × 3 × 277 × 2467
Abundant Even Composite

8,200,308 factors as 2^2 × 3 × 277 × 2467. Its 24 positive divisors give a proper-divisor sum of 11,010,604, so this integer is abundant. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 277 × 2467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,210,912
Proper Divisor Sum 11,010,604
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8200303 ← → #8200321

Radix Representation

Decimal 8200308
Binary 11111010010000001110100 (23 bits)
Octal 0o37220164
Hexadecimal 0x7D2074

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (217 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.

8,200,308 4,100,154 2,050,077 6,150,232 3,075,116

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