λ
Harmonic Matrix

643,890

2 × 3 × 5 × 132 × 127
Abundant Even Composite

643,890 has digital root 3. The neighboring primes are 643889 and 643919; its proper-divisor sum differs from the starting integer by 398,748.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13^2 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,686,528
Proper Divisor Sum 1,042,638
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #643889 ← → #643919

Radix Representation

Decimal 643890
Binary 10011101001100110010 (20 bits)
Octal 0o2351462
Hexadecimal 0x9D332

Divisor Catalog (48)

Collatz Trajectory (79 steps to reach 1)

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

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