λ
Ratio Atlas

72,009,652

22 × 11 × 13 × 312 × 131
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 31^2 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 154,145,376
Proper Divisor Sum 82,135,724
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #72009647 ← → #72009661

Radix Representation

Decimal 72009652
Binary 100010010101100011110110100 (27 bits)
Octal 0o422543664
Hexadecimal 0x44AC7B4

Divisor Catalog (60 of 72)

Collatz Trajectory (184 steps to reach 1)

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

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