λ
Prime Ledger

9,882,384

24 × 3 × 205883
Abundant Even Composite

9,882,384 has the prime decomposition 2^4 × 3 × 205883. Its 3 distinct prime factors produce 20 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 205883
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 25,529,616
Proper Divisor Sum 15,647,232
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9882373 ← → #9882391

Radix Representation

Decimal 9882384
Binary 100101101100101100010000 (24 bits)
Octal 0o45545420
Hexadecimal 0x96CB10

Divisor Catalog (5 of 20)

1 2 3 4 6

Collatz Trajectory (176 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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