λ
Harmonic Matrix

328,746

2 × 3 × 11 × 17 × 293
Abundant Even Composite

328,746 has digital root 3. The neighboring primes are 328721 and 328753; its proper-divisor sum differs from the starting integer by 104,556.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 762,048
Proper Divisor Sum 433,302
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #328721 ← → #328753

Radix Representation

Decimal 328746
Binary 1010000010000101010 (19 bits)
Octal 0o1202052
Hexadecimal 0x5042A

Divisor Catalog (32)

Collatz Trajectory (153 steps to reach 1)

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

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