λ
Prime Ledger

882,464

25 × 11 × 23 × 109
Abundant Even Composite

882,464 has the prime decomposition 2^5 × 11 × 23 × 109. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 11 × 23 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,995,840
Proper Divisor Sum 1,113,376
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #882461 ← → #882481

Radix Representation

Decimal 882464
Binary 11010111011100100000 (20 bits)
Octal 0o3273440
Hexadecimal 0xD7720

Divisor Catalog (5 of 48)

1 2 4 8 11

Collatz Trajectory (157 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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