λ
Match Zalai

7,666,488

23 × 34 × 11831
Abundant Even Composite

7,666,488 factors as 2^3 × 3^4 × 11831. Its 40 positive divisors give a proper-divisor sum of 13,808,592, so this integer is abundant. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^4 × 11831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,475,080
Proper Divisor Sum 13,808,592
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7666487 ← → #7666493

Radix Representation

Decimal 7666488
Binary 11101001111101100111000 (23 bits)
Octal 0o35175470
Hexadecimal 0x74FB38

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (217 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.

7,666,488 3,833,244 1,916,622 958,311 2,874,934

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