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Math Directory

327,708

22 × 32 × 9103
Abundant Even Composite

327,708 factors as 2^2 × 3^2 × 9103. Its 18 positive divisors give a proper-divisor sum of 500,756, so this integer is abundant. The Collatz stopping time is 184 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 9103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 828,464
Proper Divisor Sum 500,756
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #327707 ← → #327721

Radix Representation

Decimal 327708
Binary 1010000000000011100 (19 bits)
Octal 0o1200034
Hexadecimal 0x5001C

Divisor Catalog (5 of 18)

1 2 3 4 6

Collatz Trajectory (184 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.

327,708 163,854 81,927 245,782 122,891

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