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Zalai Atlas

9,638,328

23 × 3 × 7 × 103 × 557
Abundant Even Composite

9,638,328 has the prime decomposition 2^3 × 3 × 7 × 103 × 557. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 103 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,855,360
Proper Divisor Sum 18,217,032
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9638327 ← → #9638341

Radix Representation

Decimal 9638328
Binary 100100110001000110111000 (24 bits)
Octal 0o44610670
Hexadecimal 0x9311B8

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (93 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.

9,638,328 4,819,164 2,409,582 1,204,791 3,614,374

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