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Math Directory

3,564,088

23 × 11 × 101 × 401
Abundant Even Composite

3,564,088 factors as 2^3 × 11 × 101 × 401. Its 32 positive divisors give a proper-divisor sum of 3,816,632, so this integer is abundant. The Collatz stopping time is 190 steps.

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Prime Factor Structure

Factorization String 2^3 × 11 × 101 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,380,720
Proper Divisor Sum 3,816,632
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3564073 ← → #3564097

Radix Representation

Decimal 3564088
Binary 1101100110001000111000 (22 bits)
Octal 0o15461070
Hexadecimal 0x366238

Divisor Catalog (5 of 32)

1 2 4 8 11

Collatz Trajectory (190 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.

3,564,088 1,782,044 891,022 445,511 1,336,534

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