λ
Ratio Atlas

56,496

24 × 3 × 11 × 107
Abundant Even Composite

56,496 factors as 2^4 × 3 × 11 × 107. Its 40 positive divisors give a proper-divisor sum of 104,208, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 160,704
Proper Divisor Sum 104,208
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #56489 ← → #56501

Radix Representation

Decimal 56496
Binary 1101110010110000 (16 bits)
Octal 0o156260
Hexadecimal 0xDCB0

Divisor Catalog (40)

Collatz Trajectory (104 steps to reach 1)

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

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