λ
Zalai Atlas

209,634

2 × 3 × 34939
Abundant Even Composite

209,634 has the prime decomposition 2 × 3 × 34939. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 34939
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 419,280
Proper Divisor Sum 209,646
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #209623 ← → #209639

Radix Representation

Decimal 209634
Binary 110011001011100010 (18 bits)
Octal 0o631342
Hexadecimal 0x332E2

Divisor Catalog (5 of 8)

1 2 3 6 34,939

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.

209,634 104,817 314,452 157,226 78,613

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