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Zalai Atlas

8,132,664

23 × 3 × 17 × 31 × 643
Abundant Even Composite

8,132,664 has the prime decomposition 2^3 × 3 × 17 × 31 × 643. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 31 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,256,640
Proper Divisor Sum 14,123,976
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8132659 ← → #8132669

Radix Representation

Decimal 8132664
Binary 11111000001100000111000 (23 bits)
Octal 0o37014070
Hexadecimal 0x7C1838

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (173 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.

8,132,664 4,066,332 2,033,166 1,016,583 3,049,750

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