λ
Sequence Observatory

840,402

2 × 33 × 79 × 197
Abundant Even Composite

Starting at 840,402, the Collatz iteration reaches 1 after 56 steps. The first transition is 420201; the starting value is even with 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^3 × 79 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,900,800
Proper Divisor Sum 1,060,398
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #840353 ← → #840439

Radix Representation

Decimal 840402
Binary 11001101001011010010 (20 bits)
Octal 0o3151322
Hexadecimal 0xCD2D2

Divisor Catalog (5 of 32)

1 2 3 6 9

Collatz Trajectory (56 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.

840,402 420,201 1,260,604 630,302 315,151

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