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Math Directory

9,642,492

22 × 32 × 43 × 6229
Abundant Even Composite

9,642,492 factors as 2^2 × 3^2 × 43 × 6229. Its 36 positive divisors give a proper-divisor sum of 15,302,428, so this integer is abundant. The Collatz stopping time is 132 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 43 × 6229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,944,920
Proper Divisor Sum 15,302,428
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9642463 ← → #9642499

Radix Representation

Decimal 9642492
Binary 100100110010000111111100 (24 bits)
Octal 0o44620774
Hexadecimal 0x9321FC

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (132 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.

9,642,492 4,821,246 2,410,623 7,231,870 3,615,935

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