λ
Ratio Atlas

4,036,032

26 × 32 × 72 × 11 × 13
Abundant Even Composite

4,036,032 factors as 2^6 × 3^2 × 7^2 × 11 × 13. Its 252 positive divisors give a proper-divisor sum of 11,773,944, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7^2 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 252
Divisor Sum (σ) 15,809,976
Proper Divisor Sum 11,773,944
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4036009 ← → #4036033

Radix Representation

Decimal 4036032
Binary 1111011001010111000000 (22 bits)
Octal 0o17312700
Hexadecimal 0x3D95C0

Divisor Catalog (60 of 252)

Collatz Trajectory (61 steps to reach 1)

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

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