λ
Prime Ledger

800,293

13 × 61561
Deficient Odd Composite

800,293 has the prime decomposition 13 × 61561. Its 2 distinct prime factors produce 4 positive divisors.

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Prime Factor Structure

Factorization String 13 × 61561
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 861,868
Proper Divisor Sum 61,575
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #800291 ← → #800311

Radix Representation

Decimal 800293
Binary 11000011011000100101 (20 bits)
Octal 0o3033045
Hexadecimal 0xC3625

Divisor Catalog (4)

1 13 61,561 800,293

Collatz Trajectory (92 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.

800,293 2,400,880 1,200,440 600,220 300,110

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