λ
Ratio Atlas

217,224

23 × 32 × 7 × 431
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 673,920
Proper Divisor Sum 456,696
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #217223 ← → #217229

Radix Representation

Decimal 217224
Binary 110101000010001000 (18 bits)
Octal 0o650210
Hexadecimal 0x35088

Divisor Catalog (48)

Collatz Trajectory (49 steps to reach 1)

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

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