λ
Ratio Atlas

209,784

23 × 3 × 8741
Abundant Even Composite

209,784 factors as 2^3 × 3 × 8741. Its 16 positive divisors give a proper-divisor sum of 314,736, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 8741
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 524,520
Proper Divisor Sum 314,736
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #209771 ← → #209789

Radix Representation

Decimal 209784
Binary 110011001101111000 (18 bits)
Octal 0o631570
Hexadecimal 0x33378

Divisor Catalog (16)

Collatz Trajectory (54 steps to reach 1)

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

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