λ
Ratio Atlas

82,652,138

2 × 31 × 67 × 101 × 197
Deficient Even Composite

82,652,138 factors as 2 × 31 × 67 × 101 × 197. Its 32 positive divisors give a proper-divisor sum of 49,187,350, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 31 × 67 × 101 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 131,839,488
Proper Divisor Sum 49,187,350
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #82652137 ← → #82652153

Radix Representation

Decimal 82652138
Binary 100111011010010101111101010 (27 bits)
Octal 0o473225752
Hexadecimal 0x4ED2BEA

Divisor Catalog (32)

Collatz Trajectory (179 steps to reach 1)

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

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