λ
Ratio Atlas

783,240

23 × 3 × 5 × 61 × 107
Abundant Even Composite

783,240 factors as 2^3 × 3 × 5 × 61 × 107. Its 64 positive divisors give a proper-divisor sum of 1,627,320, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 61 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 2,410,560
Proper Divisor Sum 1,627,320
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #783227 ← → #783247

Radix Representation

Decimal 783240
Binary 10111111001110001000 (20 bits)
Octal 0o2771610
Hexadecimal 0xBF388

Divisor Catalog (60 of 64)

Collatz Trajectory (69 steps to reach 1)

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

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