λ
Prime Ledger

646,338

2 × 3 × 7 × 11 × 1399
Abundant Even Composite

646,338 has the prime decomposition 2 × 3 × 7 × 11 × 1399. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 1399
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,612,800
Proper Divisor Sum 966,462
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #646309 ← → #646339

Radix Representation

Decimal 646338
Binary 10011101110011000010 (20 bits)
Octal 0o2356302
Hexadecimal 0x9DCC2

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (53 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.

646,338 323,169 969,508 484,754 242,377

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