λ
Harmonic Matrix

8,164,305

32 × 5 × 397 × 457
Deficient Odd Composite

8,164,305 has digital root 9. The neighboring primes are 8164297 and 8164307; its proper-divisor sum differs from the starting integer by -2,110,458.

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Prime Factor Structure

Factorization String 3^2 × 5 × 397 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,218,152
Proper Divisor Sum 6,053,847
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8164297 ← → #8164307

Radix Representation

Decimal 8164305
Binary 11111001001001111010001 (23 bits)
Octal 0o37111721
Hexadecimal 0x7C93D1

Divisor Catalog (5 of 24)

1 3 5 9 15

Collatz Trajectory (155 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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