λ
Math Directory

9,899,730

2 × 32 × 5 × 29 × 3793
Abundant Even Composite

9,899,730 factors as 2 × 3^2 × 5 × 29 × 3793. Its 48 positive divisors give a proper-divisor sum of 16,734,150, so this integer is abundant. The Collatz stopping time is 189 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 3793
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,633,880
Proper Divisor Sum 16,734,150
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9899693 ← → #9899731

Radix Representation

Decimal 9899730
Binary 100101110000111011010010 (24 bits)
Octal 0o45607322
Hexadecimal 0x970ED2

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (189 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.

9,899,730 4,949,865 14,849,596 7,424,798 3,712,399

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