λ
Harmonic Matrix

8,354,391

3 × 47 × 193 × 307
Deficient Odd Composite

8,354,391 has digital root 6. The neighboring primes are 8354389 and 8354413; its proper-divisor sum differs from the starting integer by -5,236,398.

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Prime Factor Structure

Factorization String 3 × 47 × 193 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,472,384
Proper Divisor Sum 3,117,993
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8354389 ← → #8354413

Radix Representation

Decimal 8354391
Binary 11111110111101001010111 (23 bits)
Octal 0o37675127
Hexadecimal 0x7F7A57

Divisor Catalog (5 of 16)

Collatz Trajectory (212 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.

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