λ
Sigma Notebook

81,685

5 × 17 × 312
Deficient Odd Composite

81,685 is odd and not a perfect square. Its factorization is 5 × 17 × 31^2 and its 12 divisors sum to 107,244.

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Prime Factor Structure

Factorization String 5 × 17 × 31^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 107,244
Proper Divisor Sum 25,559
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #81677 ← → #81689

Radix Representation

Decimal 81685
Binary 10011111100010101 (17 bits)
Octal 0o237425
Hexadecimal 0x13F15

Divisor Catalog (5 of 12)

1 5 17 31 85

Collatz Trajectory (63 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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