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Math Directory

1,780,434

2 × 33 × 32971
Abundant Even Composite

1,780,434 factors as 2 × 3^3 × 32971. Its 16 positive divisors give a proper-divisor sum of 2,176,206, so this integer is abundant. The Collatz stopping time is 96 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 32971
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,956,640
Proper Divisor Sum 2,176,206
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1780411 ← → #1780439

Radix Representation

Decimal 1780434
Binary 110110010101011010010 (21 bits)
Octal 0o6625322
Hexadecimal 0x1B2AD2

Divisor Catalog (5 of 16)

1 2 3 6 9

Collatz Trajectory (96 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.

1,780,434 890,217 2,670,652 1,335,326 667,663

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