λ
Harmonic Matrix

8,560,197

32 × 17 × 55949
Deficient Odd Composite

8,560,197 has digital root 9. The neighboring primes are 8560169 and 8560217; its proper-divisor sum differs from the starting integer by -4,028,094.

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Prime Factor Structure

Factorization String 3^2 × 17 × 55949
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,092,300
Proper Divisor Sum 4,532,103
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8560169 ← → #8560217

Radix Representation

Decimal 8560197
Binary 100000101001111001000101 (24 bits)
Octal 0o40517105
Hexadecimal 0x829E45

Divisor Catalog (5 of 12)

1 3 9 17 51

Collatz Trajectory (75 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.

8,560,197 25,680,592 12,840,296 6,420,148 3,210,074

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