λ
Harmonic Matrix

9,723,197

112 × 107 × 751
Deficient Odd Composite

9,723,197 has digital root 2. The neighboring primes are 9723179 and 9723211; its proper-divisor sum differs from the starting integer by -8,644,666.

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Prime Factor Structure

Factorization String 11^2 × 107 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,801,728
Proper Divisor Sum 1,078,531
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9723179 ← → #9723211

Radix Representation

Decimal 9723197
Binary 100101000101110100111101 (24 bits)
Octal 0o45056475
Hexadecimal 0x945D3D

Divisor Catalog (5 of 12)

Collatz Trajectory (88 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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