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Math Directory

582,904

23 × 72 × 1487
Abundant Even Composite

582,904 factors as 2^3 × 7^2 × 1487. Its 24 positive divisors give a proper-divisor sum of 689,336, so this integer is abundant. The Collatz stopping time is 97 steps.

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Prime Factor Structure

Factorization String 2^3 × 7^2 × 1487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,272,240
Proper Divisor Sum 689,336
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #582899 ← → #582931

Radix Representation

Decimal 582904
Binary 10001110010011111000 (20 bits)
Octal 0o2162370
Hexadecimal 0x8E4F8

Divisor Catalog (5 of 24)

1 2 4 7 8

Collatz Trajectory (97 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.

582,904 291,452 145,726 72,863 218,590

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