λ
Ratio Atlas

49,193,276

22 × 112 × 37 × 41 × 67
Abundant Even Composite

49,193,276 factors as 2^2 × 11^2 × 37 × 41 × 67. Its 72 positive divisors give a proper-divisor sum of 51,846,292, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 37 × 41 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 101,039,568
Proper Divisor Sum 51,846,292
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #49193269 ← → #49193303

Radix Representation

Decimal 49193276
Binary 10111011101010000100111100 (26 bits)
Octal 0o273520474
Hexadecimal 0x2EEA13C

Divisor Catalog (60 of 72)

Collatz Trajectory (243 steps to reach 1)

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

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