λ
Matchaa Zalai

8,178,590

2 × 5 × 72 × 16691
Abundant Even Composite

8,178,590 factors as 2 × 5 × 7^2 × 16691. Its 24 positive divisors give a proper-divisor sum of 8,947,402, so this integer is abundant. The Collatz stopping time is 230 steps.

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Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 16691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,125,992
Proper Divisor Sum 8,947,402
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8178563 ← → #8178617

Radix Representation

Decimal 8178590
Binary 11111001100101110011110 (23 bits)
Octal 0o37145636
Hexadecimal 0x7CCB9E

Divisor Catalog (5 of 24)

1 2 5 7 10

Collatz Trajectory (230 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.

8,178,590 4,089,295 12,267,886 6,133,943 18,401,830

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