λ
Sequence Observatory

193,227

3 × 29 × 2221
Deficient Odd Composite

Starting at 193,227, the Collatz iteration reaches 1 after 85 steps. The first transition is 579682; the starting value is odd with 8 positive divisors.

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Prime Factor Structure

Factorization String 3 × 29 × 2221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 266,640
Proper Divisor Sum 73,413
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #193201 ← → #193243

Radix Representation

Decimal 193227
Binary 101111001011001011 (18 bits)
Octal 0o571313
Hexadecimal 0x2F2CB

Divisor Catalog (5 of 8)

1 3 29 87 2,221

Collatz Trajectory (85 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.

193,227 579,682 289,841 869,524 434,762

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