λ
Modular Archive

42,972

22 × 3 × 3581
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 3581
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 100,296
Proper Divisor Sum 57,324
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #42967 ← → #42979

Radix Representation

Decimal 42972
Binary 1010011111011100 (16 bits)
Octal 0o123734
Hexadecimal 0xA7DC

Divisor Catalog (12)

Collatz Trajectory (132 steps to reach 1)

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

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