λ
Ratio Atlas

39,261,976

23 × 13 × 17 × 53 × 419
Abundant Even Composite

39,261,976 factors as 2^3 × 13 × 17 × 53 × 419. Its 64 positive divisors give a proper-divisor sum of 46,468,424, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 53 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 85,730,400
Proper Divisor Sum 46,468,424
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #39261953 ← → #39261983

Radix Representation

Decimal 39261976
Binary 10010101110001011100011000 (26 bits)
Octal 0o225613430
Hexadecimal 0x2571718

Divisor Catalog (60 of 64)

Collatz Trajectory (165 steps to reach 1)

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

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