λ
Integer Codex

217,734

2 × 3 × 11 × 3299
Abundant Even Composite

For 217,734, the 16 positive divisors have a total of 475,200. Removing 217,734 leaves 257,466, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3 × 11 × 3299
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 475,200
Proper Divisor Sum 257,466
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #217733 ← → #217739

Radix Representation

Decimal 217734
Binary 110101001010000110 (18 bits)
Octal 0o651206
Hexadecimal 0x35286

Divisor Catalog (5 of 16)

1 2 3 6 11

Collatz Trajectory (142 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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