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Zalai Atlas

509,508

22 × 32 × 14153
Abundant Even Composite

509,508 has the prime decomposition 2^2 × 3^2 × 14153. Its 3 distinct prime factors produce 18 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 14153
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,288,014
Proper Divisor Sum 778,506
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #509477 ← → #509513

Radix Representation

Decimal 509508
Binary 1111100011001000100 (19 bits)
Octal 0o1743104
Hexadecimal 0x7C644

Divisor Catalog (5 of 18)

1 2 3 4 6

Collatz Trajectory (102 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.

509,508 254,754 127,377 382,132 191,066

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