λ
Ratio Atlas

744,192

28 × 32 × 17 × 19
Abundant Even Composite

744,192 factors as 2^8 × 3^2 × 17 × 19. Its 108 positive divisors give a proper-divisor sum of 1,647,288, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 17 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 2,391,480
Proper Divisor Sum 1,647,288
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #744187 ← → #744199

Radix Representation

Decimal 744192
Binary 10110101101100000000 (20 bits)
Octal 0o2655400
Hexadecimal 0xB5B00

Divisor Catalog (60 of 108)

Collatz Trajectory (149 steps to reach 1)

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

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