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Math Directory

9,705,197

1787 × 5431
Deficient Odd Composite

9,705,197 factors as 1787 × 5431. Its 4 positive divisors give a proper-divisor sum of 7,219, so this integer is deficient. The Collatz stopping time is 300 steps.

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Prime Factor Structure

Factorization String 1787 × 5431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,712,416
Proper Divisor Sum 7,219
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9705193 ← → #9705209

Radix Representation

Decimal 9705197
Binary 100101000001011011101101 (24 bits)
Octal 0o45013355
Hexadecimal 0x9416ED

Divisor Catalog (4)

1 1,787 5,431 9,705,197

Collatz Trajectory (300 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.

9,705,197 29,115,592 14,557,796 7,278,898 3,639,449

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