λ
Math Directory

8,318,006

2 × 43 × 3112
Deficient Even Composite

8,318,006 factors as 2 × 43 × 311^2. Its 12 positive divisors give a proper-divisor sum of 4,490,350, so this integer is deficient. The Collatz stopping time is 199 steps.

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Prime Factor Structure

Factorization String 2 × 43 × 311^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,808,356
Proper Divisor Sum 4,490,350
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8317999 ← → #8318027

Radix Representation

Decimal 8318006
Binary 11111101110110000110110 (23 bits)
Octal 0o37566066
Hexadecimal 0x7EEC36

Divisor Catalog (5 of 12)

1 2 43 86 311

Collatz Trajectory (199 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.

8,318,006 4,159,003 12,477,010 6,238,505 18,715,516

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