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Zalai Atlas

4,778,220

22 × 3 × 5 × 97 × 821
Abundant Even Composite

4,778,220 has the prime decomposition 2^2 × 3 × 5 × 97 × 821. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 97 × 821
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,533,408
Proper Divisor Sum 8,755,188
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4778197 ← → #4778231

Radix Representation

Decimal 4778220
Binary 10010001110100011101100 (23 bits)
Octal 0o22164354
Hexadecimal 0x48E8EC

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (149 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.

4,778,220 2,389,110 1,194,555 3,583,666 1,791,833

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