λ
Integer Codex

204,216

23 × 3 × 67 × 127
Abundant Even Composite

For 204,216, the 32 positive divisors have a total of 522,240. Removing 204,216 leaves 318,024, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 3 × 67 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 522,240
Proper Divisor Sum 318,024
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #204173 ← → #204233

Radix Representation

Decimal 204216
Binary 110001110110111000 (18 bits)
Octal 0o616670
Hexadecimal 0x31DB8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (129 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

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