λ
Match Zalai

6,559,180

22 × 5 × 19 × 41 × 421
Abundant Even Composite

6,559,180 factors as 2^2 × 5 × 19 × 41 × 421. Its 48 positive divisors give a proper-divisor sum of 8,328,980, so this integer is abundant. The Collatz stopping time is 209 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 41 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,888,160
Proper Divisor Sum 8,328,980
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6559171 ← → #6559181

Radix Representation

Decimal 6559180
Binary 11001000001010111001100 (23 bits)
Octal 0o31012714
Hexadecimal 0x6415CC

Divisor Catalog (5 of 48)

1 2 4 5 10

Collatz Trajectory (209 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.

6,559,180 3,279,590 1,639,795 4,919,386 2,459,693

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