λ
Zalai Atlas

133,038

2 × 32 × 19 × 389
Abundant Even Composite

133,038 has the prime decomposition 2 × 3^2 × 19 × 389. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 304,200
Proper Divisor Sum 171,162
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #133033 ← → #133039

Radix Representation

Decimal 133038
Binary 100000011110101110 (18 bits)
Octal 0o403656
Hexadecimal 0x207AE

Divisor Catalog (5 of 24)

1 2 3 6 9

Collatz Trajectory (193 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

133,038 66,519 199,558 99,779 299,338

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