λ
Matchaa Zalai

9,957,690

2 × 32 × 5 × 110641
Abundant Even Composite

9,957,690 factors as 2 × 3^2 × 5 × 110641. Its 24 positive divisors give a proper-divisor sum of 15,932,538, so this integer is abundant. The Collatz stopping time is 114 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 110641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,890,228
Proper Divisor Sum 15,932,538
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9957683 ← → #9957697

Radix Representation

Decimal 9957690
Binary 100101111111000100111010 (24 bits)
Octal 0o45770472
Hexadecimal 0x97F13A

Divisor Catalog (5 of 24)

1 2 3 5 6

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.

9,957,690 4,978,845 14,936,536 7,468,268 3,734,134

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