λ
Harmonic Matrix

6,496,917

3 × 7 × 192 × 857
Deficient Odd Composite

6,496,917 has digital root 6. The neighboring primes are 6496909 and 6496937; its proper-divisor sum differs from the starting integer by -2,533,098.

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Prime Factor Structure

Factorization String 3 × 7 × 19^2 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,460,736
Proper Divisor Sum 3,963,819
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6496909 ← → #6496937

Radix Representation

Decimal 6496917
Binary 11000110010001010010101 (23 bits)
Octal 0o30621225
Hexadecimal 0x632295

Divisor Catalog (5 of 24)

1 3 7 19 21

Collatz Trajectory (165 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.

6,496,917 19,490,752 9,745,376 4,872,688 2,436,344

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