λ
Sigma Notebook

83,709

32 × 71 × 131
Deficient Odd Composite

83,709 is odd and not a perfect square. Its factorization is 3^2 × 71 × 131 and its 12 divisors sum to 123,552.

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Prime Factor Structure

Factorization String 3^2 × 71 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 123,552
Proper Divisor Sum 39,843
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #83701 ← → #83717

Radix Representation

Decimal 83709
Binary 10100011011111101 (17 bits)
Octal 0o243375
Hexadecimal 0x146FD

Divisor Catalog (5 of 12)

1 3 9 71 131

Collatz Trajectory (89 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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