λ
Harmonic Matrix

6,782,337

32 × 17 × 97 × 457
Deficient Odd Composite

6,782,337 has digital root 9. The neighboring primes are 6782333 and 6782339; its proper-divisor sum differs from the starting integer by -3,061,818.

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Prime Factor Structure

Factorization String 3^2 × 17 × 97 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,502,856
Proper Divisor Sum 3,720,519
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6782333 ← → #6782339

Radix Representation

Decimal 6782337
Binary 11001110111110110000001 (23 bits)
Octal 0o31676601
Hexadecimal 0x677D81

Divisor Catalog (5 of 24)

1 3 9 17 51

Collatz Trajectory (222 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.

6,782,337 20,347,012 10,173,506 5,086,753 15,260,260

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