λ
Ratio Atlas

218,778

2 × 3 × 7 × 5209
Abundant Even Composite

218,778 factors as 2 × 3 × 7 × 5209. Its 16 positive divisors give a proper-divisor sum of 281,382, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 5209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 500,160
Proper Divisor Sum 281,382
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #218761 ← → #218783

Radix Representation

Decimal 218778
Binary 110101011010011010 (18 bits)
Octal 0o653232
Hexadecimal 0x3569A

Divisor Catalog (16)

Collatz Trajectory (155 steps to reach 1)

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

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