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Math Directory

8,729,568

25 × 32 × 17 × 1783
Abundant Even Composite

8,729,568 factors as 2^5 × 3^2 × 17 × 1783. Its 72 positive divisors give a proper-divisor sum of 17,570,160, so this integer is abundant. The Collatz stopping time is 212 steps.

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Prime Factor Structure

Factorization String 2^5 × 3^2 × 17 × 1783
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,299,728
Proper Divisor Sum 17,570,160
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8729563 ← → #8729593

Radix Representation

Decimal 8729568
Binary 100001010011001111100000 (24 bits)
Octal 0o41231740
Hexadecimal 0x8533E0

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (212 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.

8,729,568 4,364,784 2,182,392 1,091,196 545,598

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