λ
Harmonic Matrix

6,906,117

3 × 263 × 8753
Deficient Odd Composite

6,906,117 has digital root 3. The neighboring primes are 6906103 and 6906143; its proper-divisor sum differs from the starting integer by -4,568,010.

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Prime Factor Structure

Factorization String 3 × 263 × 8753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,244,224
Proper Divisor Sum 2,338,107
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6906103 ← → #6906143

Radix Representation

Decimal 6906117
Binary 11010010110000100000101 (23 bits)
Octal 0o32260405
Hexadecimal 0x696105

Divisor Catalog (5 of 8)

Collatz Trajectory (191 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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