λ
Harmonic Matrix

6,820,473

3 × 11 × 41 × 712
Deficient Odd Composite

6,820,473 has digital root 3. The neighboring primes are 6820441 and 6820483; its proper-divisor sum differs from the starting integer by -3,333,138.

Prime Factor Structure

Factorization String 3 × 11 × 41 × 71^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,307,808
Proper Divisor Sum 3,487,335
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6820441 ← → #6820483

Radix Representation

Decimal 6820473
Binary 11010000001001001111001 (23 bits)
Octal 0o32011171
Hexadecimal 0x681279

Divisor Catalog (24)

Collatz Trajectory (214 steps to reach 1)

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

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