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Math Directory

685,549

43 × 107 × 149
Deficient Odd Composite

685,549 factors as 43 × 107 × 149. Its 8 positive divisors give a proper-divisor sum of 27,251, so this integer is deficient. The Collatz stopping time is 198 steps.

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Prime Factor Structure

Factorization String 43 × 107 × 149
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 712,800
Proper Divisor Sum 27,251
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #685547 ← → #685591

Radix Representation

Decimal 685549
Binary 10100111010111101101 (20 bits)
Octal 0o2472755
Hexadecimal 0xA75ED

Divisor Catalog (5 of 8)

1 43 107 149 4,601

Collatz Trajectory (198 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.

685,549 2,056,648 1,028,324 514,162 257,081

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