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Zalai Atlas

7,738,250

2 × 53 × 13 × 2381
Abundant Even Composite

7,738,250 has the prime decomposition 2 × 5^3 × 13 × 2381. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 5^3 × 13 × 2381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,606,864
Proper Divisor Sum 7,868,614
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7738243 ← → #7738259

Radix Representation

Decimal 7738250
Binary 11101100001001110001010 (23 bits)
Octal 0o35411612
Hexadecimal 0x76138A

Divisor Catalog (5 of 32)

1 2 5 10 13

Collatz Trajectory (98 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.

7,738,250 3,869,125 11,607,376 5,803,688 2,901,844

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