λ
Modular Archive

329,344

27 × 31 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 31 × 83
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 685,440
Proper Divisor Sum 356,096
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #329333 ← → #329347

Radix Representation

Decimal 329344
Binary 1010000011010000000 (19 bits)
Octal 0o1203200
Hexadecimal 0x50680

Divisor Catalog (32)

Collatz Trajectory (34 steps to reach 1)

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

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