λ
Harmonic Matrix

8,267,117

17 × 29 × 41 × 409
Deficient Odd Composite

8,267,117 has digital root 5. The neighboring primes are 8267107 and 8267123; its proper-divisor sum differs from the starting integer by -7,235,434.

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Prime Factor Structure

Factorization String 17 × 29 × 41 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,298,800
Proper Divisor Sum 1,031,683
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8267107 ← → #8267123

Radix Representation

Decimal 8267117
Binary 11111100010010101101101 (23 bits)
Octal 0o37422555
Hexadecimal 0x7E256D

Divisor Catalog (5 of 16)

Collatz Trajectory (199 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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