λ
Harmonic Matrix

105,073

179 × 587
Deficient Odd Composite

105,073 has digital root 7. The neighboring primes are 105071 and 105097; its proper-divisor sum differs from the starting integer by -104,306.

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Prime Factor Structure

Factorization String 179 × 587
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 105,840
Proper Divisor Sum 767
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #105071 ← → #105097

Radix Representation

Decimal 105073
Binary 11001101001110001 (17 bits)
Octal 0o315161
Hexadecimal 0x19A71

Divisor Catalog (4)

1 179 587 105,073

Collatz Trajectory (79 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.

105,073 315,220 157,610 78,805 236,416

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