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Math Directory

685,865

5 × 17 × 8069
Deficient Odd Composite

685,865 factors as 5 × 17 × 8069. Its 8 positive divisors give a proper-divisor sum of 185,695, so this integer is deficient. The Collatz stopping time is 260 steps.

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Prime Factor Structure

Factorization String 5 × 17 × 8069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 871,560
Proper Divisor Sum 185,695
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #685859 ← → #685907

Radix Representation

Decimal 685865
Binary 10100111011100101001 (20 bits)
Octal 0o2473451
Hexadecimal 0xA7729

Divisor Catalog (5 of 8)

1 5 17 85 8,069

Collatz Trajectory (260 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.

685,865 2,057,596 1,028,798 514,399 1,543,198

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