λ
Match Zalai

9,846,234

2 × 32 × 53 × 10321
Abundant Even Composite

9,846,234 factors as 2 × 3^2 × 53 × 10321. Its 24 positive divisors give a proper-divisor sum of 11,891,898, so this integer is abundant. The Collatz stopping time is 238 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 53 × 10321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,738,132
Proper Divisor Sum 11,891,898
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9846233 ← → #9846271

Radix Representation

Decimal 9846234
Binary 100101100011110111011010 (24 bits)
Octal 0o45436732
Hexadecimal 0x963DDA

Divisor Catalog (5 of 24)

1 2 3 6 9

Collatz Trajectory (238 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.

9,846,234 4,923,117 14,769,352 7,384,676 3,692,338

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