λ
Ratio Atlas

72,084

22 × 3 × 6007
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 6007
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 168,224
Proper Divisor Sum 96,140
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #72077 ← → #72089

Radix Representation

Decimal 72084
Binary 10001100110010100 (17 bits)
Octal 0o214624
Hexadecimal 0x11994

Divisor Catalog (12)

Collatz Trajectory (42 steps to reach 1)

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

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