λ
Ratio Atlas

37,824

26 × 3 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 197
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 100,584
Proper Divisor Sum 62,760
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #37813 ← → #37831

Radix Representation

Decimal 37824
Binary 1001001111000000 (16 bits)
Octal 0o111700
Hexadecimal 0x93C0

Divisor Catalog (28)

Collatz Trajectory (62 steps to reach 1)

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

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