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Zalai Atlas

133,107

3 × 13 × 3413
Deficient Odd Composite

133,107 has the prime decomposition 3 × 13 × 3413. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 3 × 13 × 3413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 191,184
Proper Divisor Sum 58,077
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #133103 ← → #133109

Radix Representation

Decimal 133107
Binary 100000011111110011 (18 bits)
Octal 0o403763
Hexadecimal 0x207F3

Divisor Catalog (5 of 8)

1 3 13 39 3,413

Collatz Trajectory (206 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.

133,107 399,322 199,661 598,984 299,492

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