λ
Sequence Observatory

205,353

32 × 22817
Deficient Odd Composite

Starting at 205,353, the Collatz iteration reaches 1 after 173 steps. The first transition is 616060; the starting value is odd with 6 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 22817
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 296,634
Proper Divisor Sum 91,281
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #205339 ← → #205357

Radix Representation

Decimal 205353
Binary 110010001000101001 (18 bits)
Octal 0o621051
Hexadecimal 0x32229

Divisor Catalog (5 of 6)

Collatz Trajectory (173 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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