λ
Match Zalai

9,981,650

2 × 52 × 7 × 192 × 79
Abundant Even Composite

9,981,650 factors as 2 × 5^2 × 7 × 19^2 × 79. Its 72 positive divisors give a proper-divisor sum of 12,695,470, so this integer is abundant. The Collatz stopping time is 114 steps.

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Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 19^2 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 22,677,120
Proper Divisor Sum 12,695,470
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9981637 ← → #9981661

Radix Representation

Decimal 9981650
Binary 100110000100111011010010 (24 bits)
Octal 0o46047322
Hexadecimal 0x984ED2

Divisor Catalog (5 of 72)

1 2 5 7 10

Collatz Trajectory (114 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.

9,981,650 4,990,825 14,972,476 7,486,238 3,743,119

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