λ
Zalai Atlas

8,467,768

23 × 17 × 19 × 29 × 113
Abundant Even Composite

8,467,768 has the prime decomposition 2^3 × 17 × 19 × 29 × 113. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 17 × 19 × 29 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,468,000
Proper Divisor Sum 10,000,232
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8467763 ← → #8467769

Radix Representation

Decimal 8467768
Binary 100000010011010100111000 (24 bits)
Octal 0o40232470
Hexadecimal 0x813538

Divisor Catalog (5 of 64)

1 2 4 8 17

Collatz Trajectory (199 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.

8,467,768 4,233,884 2,116,942 1,058,471 3,175,414

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