λ
Ratio Atlas

27,738

2 × 32 × 23 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,648
Proper Divisor Sum 35,910
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #27737 ← → #27739

Radix Representation

Decimal 27738
Binary 110110001011010 (15 bits)
Octal 0o66132
Hexadecimal 0x6C5A

Divisor Catalog (24)

Collatz Trajectory (152 steps to reach 1)

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

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