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Zalai Atlas

800,220

22 × 3 × 5 × 13337
Abundant Even Composite

800,220 has the prime decomposition 2^2 × 3 × 5 × 13337. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,240,784
Proper Divisor Sum 1,440,564
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #800213 ← → #800221

Radix Representation

Decimal 800220
Binary 11000011010111011100 (20 bits)
Octal 0o3032734
Hexadecimal 0xC35DC

Divisor Catalog (5 of 24)

1 2 3 4 5

Collatz Trajectory (92 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.

800,220 400,110 200,055 600,166 300,083

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