λ
Harmonic Matrix

3,205,464

23 × 3 × 23 × 5807
Abundant Even Composite

3,205,464 has digital root 6. The neighboring primes are 3205459 and 3205507; its proper-divisor sum differs from the starting integer by 1,952,592.

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Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 5807
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,363,520
Proper Divisor Sum 5,158,056
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3205459 ← → #3205507

Radix Representation

Decimal 3205464
Binary 1100001110100101011000 (22 bits)
Octal 0o14164530
Hexadecimal 0x30E958

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (76 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.

3,205,464 1,602,732 801,366 400,683 1,202,050

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