λ
Ratio Atlas

684,441

32 × 113 × 673
Deficient Odd Composite

684,441 factors as 3^2 × 113 × 673. Its 12 positive divisors give a proper-divisor sum of 314,427, so this integer is deficient. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 3^2 × 113 × 673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 998,868
Proper Divisor Sum 314,427
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #684433 ← → #684443

Radix Representation

Decimal 684441
Binary 10100111000110011001 (20 bits)
Octal 0o2470631
Hexadecimal 0xA7199

Divisor Catalog (12)

Collatz Trajectory (53 steps to reach 1)

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

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