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Math Directory

9,181,782

2 × 33 × 193 × 881
Abundant Even Composite

9,181,782 factors as 2 × 3^3 × 193 × 881. Its 32 positive divisors give a proper-divisor sum of 11,351,178, so this integer is abundant. The Collatz stopping time is 287 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 193 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,532,960
Proper Divisor Sum 11,351,178
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9181771 ← → #9181787

Radix Representation

Decimal 9181782
Binary 100011000001101001010110 (24 bits)
Octal 0o43015126
Hexadecimal 0x8C1A56

Divisor Catalog (5 of 32)

1 2 3 6 9

Collatz Trajectory (287 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.

9,181,782 4,590,891 13,772,674 6,886,337 20,659,012

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