λ
Ratio Atlas

97,728

26 × 3 × 509
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 509
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 259,080
Proper Divisor Sum 161,352
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #97711 ← → #97729

Radix Representation

Decimal 97728
Binary 10111110111000000 (17 bits)
Octal 0o276700
Hexadecimal 0x17DC0

Divisor Catalog (28)

Collatz Trajectory (159 steps to reach 1)

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

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