λ
Math Directory

8,001,244

22 × 293 × 6827
Deficient Even Composite

8,001,244 factors as 2^2 × 293 × 6827. Its 12 positive divisors give a proper-divisor sum of 6,050,780, so this integer is deficient. The Collatz stopping time is 142 steps.

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Prime Factor Structure

Factorization String 2^2 × 293 × 6827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,052,024
Proper Divisor Sum 6,050,780
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #8001241 ← → #8001247

Radix Representation

Decimal 8001244
Binary 11110100001011011011100 (23 bits)
Octal 0o36413334
Hexadecimal 0x7A16DC

Divisor Catalog (5 of 12)

1 2 4 293 586

Collatz Trajectory (142 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.

8,001,244 4,000,622 2,000,311 6,000,934 3,000,467

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