λ
Ratio Atlas

8,201,352

23 × 3 × 71 × 4813
Abundant Even Composite

8,201,352 factors as 2^3 × 3 × 71 × 4813. Its 32 positive divisors give a proper-divisor sum of 12,595,128, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 71 × 4813
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,796,480
Proper Divisor Sum 12,595,128
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8201351 ← → #8201357

Radix Representation

Decimal 8201352
Binary 11111010010010010001000 (23 bits)
Octal 0o37222210
Hexadecimal 0x7D2488

Divisor Catalog (32)

Collatz Trajectory (186 steps to reach 1)

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

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