λ
Harmonic Matrix

6,584,313

3 × 41 × 199 × 269
Deficient Odd Composite

6,584,313 has digital root 3. The neighboring primes are 6584311 and 6584329; its proper-divisor sum differs from the starting integer by -4,096,626.

Prime Factor Structure

Factorization String 3 × 41 × 199 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,072,000
Proper Divisor Sum 2,487,687
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6584311 ← → #6584329

Radix Representation

Decimal 6584313
Binary 11001000111011111111001 (23 bits)
Octal 0o31073771
Hexadecimal 0x6477F9

Divisor Catalog (16)

Collatz Trajectory (90 steps to reach 1)

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

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