λ
Modular Archive

33,972

22 × 3 × 19 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 84,000
Proper Divisor Sum 50,028
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #33967 ← → #33997

Radix Representation

Decimal 33972
Binary 1000010010110100 (16 bits)
Octal 0o102264
Hexadecimal 0x84B4

Divisor Catalog (24)

Collatz Trajectory (36 steps to reach 1)

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

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