λ
Match Zalai

9,986,382

2 × 33 × 7 × 29 × 911
Abundant Even Composite

9,986,382 factors as 2 × 3^3 × 7 × 29 × 911. Its 64 positive divisors give a proper-divisor sum of 16,279,218, so this integer is abundant. The Collatz stopping time is 207 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 29 × 911
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,265,600
Proper Divisor Sum 16,279,218
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9986377 ← → #9986407

Radix Representation

Decimal 9986382
Binary 100110000110000101001110 (24 bits)
Octal 0o46060516
Hexadecimal 0x98614E

Divisor Catalog (5 of 64)

1 2 3 6 7

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.

9,986,382 4,993,191 14,979,574 7,489,787 22,469,362

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