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Math Directory

9,828,305

5 × 1965661
Deficient Odd Composite

9,828,305 factors as 5 × 1965661. Its 4 positive divisors give a proper-divisor sum of 1,965,667, so this integer is deficient. The Collatz stopping time is 176 steps.

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Prime Factor Structure

Factorization String 5 × 1965661
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,793,972
Proper Divisor Sum 1,965,667
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9828293 ← → #9828319

Radix Representation

Decimal 9828305
Binary 100101011111011111010001 (24 bits)
Octal 0o45373721
Hexadecimal 0x95F7D1

Divisor Catalog (4)

1 5 1,965,661 9,828,305

Collatz Trajectory (176 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.

9,828,305 29,484,916 14,742,458 7,371,229 22,113,688

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