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Math Directory

9,609,138

2 × 33 × 7 × 11 × 2311
Abundant Even Composite

9,609,138 factors as 2 × 3^3 × 7 × 11 × 2311. Its 64 positive divisors give a proper-divisor sum of 17,025,102, so this integer is abundant. The Collatz stopping time is 93 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 11 × 2311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,634,240
Proper Divisor Sum 17,025,102
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9609133 ← → #9609139

Radix Representation

Decimal 9609138
Binary 100100101001111110110010 (24 bits)
Octal 0o44517662
Hexadecimal 0x929FB2

Divisor Catalog (5 of 64)

1 2 3 6 7

Collatz Trajectory (93 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.

9,609,138 4,804,569 14,413,708 7,206,854 3,603,427

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