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Math Directory

9,846,341

29 × 163 × 2083
Deficient Odd Composite

9,846,341 factors as 29 × 163 × 2083. Its 8 positive divisors give a proper-divisor sum of 406,939, so this integer is deficient. The Collatz stopping time is 176 steps.

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Prime Factor Structure

Factorization String 29 × 163 × 2083
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,253,280
Proper Divisor Sum 406,939
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9846311 ← → #9846377

Radix Representation

Decimal 9846341
Binary 100101100011111001000101 (24 bits)
Octal 0o45437105
Hexadecimal 0x963E45

Divisor Catalog (5 of 8)

1 29 163 2,083 4,727

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.

9,846,341 29,539,024 14,769,512 7,384,756 3,692,378

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