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Math Directory

7,776,732

22 × 3 × 648061
Abundant Even Composite

7,776,732 factors as 2^2 × 3 × 648061. Its 12 positive divisors give a proper-divisor sum of 10,369,004, so this integer is abundant. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 648061
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,145,736
Proper Divisor Sum 10,369,004
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7776709 ← → #7776749

Radix Representation

Decimal 7776732
Binary 11101101010100111011100 (23 bits)
Octal 0o35524734
Hexadecimal 0x76A9DC

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (217 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.

7,776,732 3,888,366 1,944,183 5,832,550 2,916,275

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