λ
Math Directory

9,942,840

23 × 32 × 5 × 71 × 389
Abundant Even Composite

9,942,840 factors as 2^3 × 3^2 × 5 × 71 × 389. Its 96 positive divisors give a proper-divisor sum of 22,910,760, so this integer is abundant. The Collatz stopping time is 176 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 71 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 32,853,600
Proper Divisor Sum 22,910,760
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9942797 ← → #9942883

Radix Representation

Decimal 9942840
Binary 100101111011011100111000 (24 bits)
Octal 0o45733470
Hexadecimal 0x97B738

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (176 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.

9,942,840 4,971,420 2,485,710 1,242,855 3,728,566

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