λ
Harmonic Matrix

6,782,559

3 × 7 × 71 × 4549
Deficient Odd Composite

6,782,559 has digital root 6. The neighboring primes are 6782543 and 6782561; its proper-divisor sum differs from the starting integer by -3,081,918.

Prime Factor Structure

Factorization String 3 × 7 × 71 × 4549
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,483,200
Proper Divisor Sum 3,700,641
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6782543 ← → #6782561

Radix Representation

Decimal 6782559
Binary 11001110111111001011111 (23 bits)
Octal 0o31677137
Hexadecimal 0x677E5F

Divisor Catalog (16)

Collatz Trajectory (160 steps to reach 1)

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

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