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Math Directory

7,325,196

22 × 3 × 79 × 7727
Abundant Even Composite

7,325,196 factors as 2^2 × 3 × 79 × 7727. Its 24 positive divisors give a proper-divisor sum of 9,985,524, so this integer is abundant. The Collatz stopping time is 59 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 79 × 7727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,310,720
Proper Divisor Sum 9,985,524
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7325191 ← → #7325209

Radix Representation

Decimal 7325196
Binary 11011111100011000001100 (23 bits)
Octal 0o33743014
Hexadecimal 0x6FC60C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (59 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.

7,325,196 3,662,598 1,831,299 5,493,898 2,746,949

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