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Math Directory

5,985,510

2 × 3 × 5 × 127 × 1571
Abundant Even Composite

5,985,510 factors as 2 × 3 × 5 × 127 × 1571. Its 32 positive divisors give a proper-divisor sum of 8,502,042, so this integer is abundant. The Collatz stopping time is 113 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 127 × 1571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,487,552
Proper Divisor Sum 8,502,042
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5985493 ← → #5985533

Radix Representation

Decimal 5985510
Binary 10110110101010011100110 (23 bits)
Octal 0o26652346
Hexadecimal 0x5B54E6

Divisor Catalog (5 of 32)

1 2 3 5 6

Collatz Trajectory (113 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.

5,985,510 2,992,755 8,978,266 4,489,133 13,467,400

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