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Math Directory

3,084,676

22 × 7 × 41 × 2687
Abundant Even Composite

3,084,676 factors as 2^2 × 7 × 41 × 2687. Its 24 positive divisors give a proper-divisor sum of 3,237,500, so this integer is abundant. The Collatz stopping time is 195 steps.

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Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 2687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,322,176
Proper Divisor Sum 3,237,500
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3084673 ← → #3084689

Radix Representation

Decimal 3084676
Binary 1011110001000110000100 (22 bits)
Octal 0o13610604
Hexadecimal 0x2F1184

Divisor Catalog (5 of 24)

1 2 4 7 14

Collatz Trajectory (195 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.

3,084,676 1,542,338 771,169 2,313,508 1,156,754

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