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Math Directory

6,831,305

5 × 13 × 105097
Deficient Odd Composite

6,831,305 factors as 5 × 13 × 105097. Its 8 positive divisors give a proper-divisor sum of 1,996,927, so this integer is deficient. The Collatz stopping time is 147 steps.

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Prime Factor Structure

Factorization String 5 × 13 × 105097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,828,232
Proper Divisor Sum 1,996,927
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6831301 ← → #6831311

Radix Representation

Decimal 6831305
Binary 11010000011110011001001 (23 bits)
Octal 0o32036311
Hexadecimal 0x683CC9

Divisor Catalog (5 of 8)

1 5 13 65 105,097

Collatz Trajectory (147 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.

6,831,305 20,493,916 10,246,958 5,123,479 15,370,438

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