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Math Directory

9,887,710

2 × 5 × 72 × 17 × 1187
Abundant Even Composite

9,887,710 factors as 2 × 5 × 7^2 × 17 × 1187. Its 48 positive divisors give a proper-divisor sum of 12,052,274, so this integer is abundant. The Collatz stopping time is 207 steps.

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Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 17 × 1187
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,939,984
Proper Divisor Sum 12,052,274
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9887699 ← → #9887711

Radix Representation

Decimal 9887710
Binary 100101101101111111011110 (24 bits)
Octal 0o45557736
Hexadecimal 0x96DFDE

Divisor Catalog (5 of 48)

1 2 5 7 10

Collatz Trajectory (207 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.

9,887,710 4,943,855 14,831,566 7,415,783 22,247,350

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