λ
Ratio Atlas

685,206

2 × 33 × 12689
Abundant Even Composite

685,206 factors as 2 × 3^3 × 12689. Its 16 positive divisors give a proper-divisor sum of 837,594, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 12689
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,522,800
Proper Divisor Sum 837,594
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #685199 ← → #685231

Radix Representation

Decimal 685206
Binary 10100111010010010110 (20 bits)
Octal 0o2472226
Hexadecimal 0xA7496

Divisor Catalog (16)

Collatz Trajectory (61 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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