λ
Sequence Observatory

827,603

7 × 191 × 619
Deficient Odd Composite

Starting at 827,603, the Collatz iteration reaches 1 after 144 steps. The first transition is 2482810; the starting value is odd with 8 positive divisors.

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Prime Factor Structure

Factorization String 7 × 191 × 619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 952,320
Proper Divisor Sum 124,717
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #827599 ← → #827633

Radix Representation

Decimal 827603
Binary 11001010000011010011 (20 bits)
Octal 0o3120323
Hexadecimal 0xCA0D3

Divisor Catalog (5 of 8)

Collatz Trajectory (144 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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