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Zalai Atlas

9,688,128

26 × 3 × 50459
Abundant Even Composite

9,688,128 has the prime decomposition 2^6 × 3 × 50459. Its 3 distinct prime factors produce 28 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 3 × 50459
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 25,633,680
Proper Divisor Sum 15,945,552
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9688127 ← → #9688139

Radix Representation

Decimal 9688128
Binary 100100111101010001000000 (24 bits)
Octal 0o44752100
Hexadecimal 0x93D440

Divisor Catalog (5 of 28)

1 2 3 4 6

Collatz Trajectory (114 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.

9,688,128 4,844,064 2,422,032 1,211,016 605,508

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