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Modular Archive

211,752

23 × 32 × 17 × 173
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 610,740
Proper Divisor Sum 398,988
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #211747 ← → #211777

Radix Representation

Decimal 211752
Binary 110011101100101000 (18 bits)
Octal 0o635450
Hexadecimal 0x33B28

Divisor Catalog (48)

Collatz Trajectory (49 steps to reach 1)

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

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