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Math Directory

231,177

3 × 263 × 293
Deficient Odd Composite

231,177 factors as 3 × 263 × 293. Its 8 positive divisors give a proper-divisor sum of 79,287, so this integer is deficient. The Collatz stopping time is 305 steps.

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Prime Factor Structure

Factorization String 3 × 263 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 310,464
Proper Divisor Sum 79,287
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #231169 ← → #231197

Radix Representation

Decimal 231177
Binary 111000011100001001 (18 bits)
Octal 0o703411
Hexadecimal 0x38709

Divisor Catalog (5 of 8)

1 3 263 293 789

Collatz Trajectory (305 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.

231,177 693,532 346,766 173,383 520,150

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