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Math Directory

587,916

22 × 32 × 7 × 2333
Abundant Even Composite

587,916 factors as 2^2 × 3^2 × 7 × 2333. Its 36 positive divisors give a proper-divisor sum of 1,111,236, so this integer is abundant. The Collatz stopping time is 190 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 2333
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,699,152
Proper Divisor Sum 1,111,236
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #587897 ← → #587927

Radix Representation

Decimal 587916
Binary 10001111100010001100 (20 bits)
Octal 0o2174214
Hexadecimal 0x8F88C

Divisor Catalog (5 of 36)

1 2 3 4 6

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.

587,916 293,958 146,979 440,938 220,469

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