λ
Prime Ledger

33,340

22 × 5 × 1667
Abundant Even Composite

33,340 has the prime decomposition 2^2 × 5 × 1667. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 1667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 70,056
Proper Divisor Sum 36,716
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #33331 ← → #33343

Radix Representation

Decimal 33340
Binary 1000001000111100 (16 bits)
Octal 0o101074
Hexadecimal 0x823C

Divisor Catalog (12)

Collatz Trajectory (116 steps to reach 1)

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

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