λ
Ratio Atlas

51,456

28 × 3 × 67
Abundant Even Composite

51,456 factors as 2^8 × 3 × 67. Its 36 positive divisors give a proper-divisor sum of 87,536, so this integer is abundant. The Collatz stopping time is 26 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 67
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 138,992
Proper Divisor Sum 87,536
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #51449 ← → #51461

Radix Representation

Decimal 51456
Binary 1100100100000000 (16 bits)
Octal 0o144400
Hexadecimal 0xC900

Divisor Catalog (36)

Collatz Trajectory (26 steps to reach 1)

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

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