λ
Prime Ledger

8,288,324

22 × 11 × 113 × 1667
Deficient Even Composite

8,288,324 has the prime decomposition 2^2 × 11 × 113 × 1667. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 11 × 113 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,972,768
Proper Divisor Sum 7,684,444
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8288321 ← → #8288339

Radix Representation

Decimal 8288324
Binary 11111100111100001000100 (23 bits)
Octal 0o37474104
Hexadecimal 0x7E7844

Divisor Catalog (5 of 24)

1 2 4 11 22

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.

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