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Math Directory

209,887

209887
Deficient Odd Prime

209,887 factors as 209887. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 209887
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 209,888
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #209861 ← → #209917

Radix Representation

Decimal 209887
Binary 110011001111011111 (18 bits)
Octal 0o631737
Hexadecimal 0x333DF

Divisor Catalog (2)

1 209,887

Collatz Trajectory (155 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.

209,887 629,662 314,831 944,494 472,247

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