λ
Ratio Atlas

81,189

33 × 31 × 97
Deficient Odd Composite

81,189 factors as 3^3 × 31 × 97. Its 16 positive divisors give a proper-divisor sum of 44,251, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^3 × 31 × 97
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 125,440
Proper Divisor Sum 44,251
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #81181 ← → #81197

Radix Representation

Decimal 81189
Binary 10011110100100101 (17 bits)
Octal 0o236445
Hexadecimal 0x13D25

Divisor Catalog (16)

Collatz Trajectory (138 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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