λ
Ratio Atlas

82,231,604

22 × 72 × 13 × 59 × 547
Abundant Even Composite

82,231,604 factors as 2^2 × 7^2 × 13 × 59 × 547. Its 72 positive divisors give a proper-divisor sum of 101,436,076, so this integer is abundant. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 59 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 183,667,680
Proper Divisor Sum 101,436,076
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #82231603 ← → #82231607

Radix Representation

Decimal 82231604
Binary 100111001101100000100110100 (27 bits)
Octal 0o471540464
Hexadecimal 0x4E6C134

Divisor Catalog (60 of 72)

Collatz Trajectory (236 steps to reach 1)

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

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