λ
Ratio Atlas

218,772

22 × 32 × 59 × 103
Abundant Even Composite

218,772 factors as 2^2 × 3^2 × 59 × 103. Its 36 positive divisors give a proper-divisor sum of 349,068, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 59 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 567,840
Proper Divisor Sum 349,068
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #218761 ← → #218783

Radix Representation

Decimal 218772
Binary 110101011010010100 (18 bits)
Octal 0o653224
Hexadecimal 0x35694

Divisor Catalog (36)

Collatz Trajectory (155 steps to reach 1)

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

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