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Zalai Atlas

2,013,480

23 × 32 × 5 × 7 × 17 × 47
Abundant Even Composite

2,013,480 has the prime decomposition 2^3 × 3^2 × 5 × 7 × 17 × 47. Its 6 distinct prime factors produce 192 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 17 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 8,087,040
Proper Divisor Sum 6,073,560
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2013457 ← → #2013491

Radix Representation

Decimal 2013480
Binary 111101011100100101000 (21 bits)
Octal 0o7534450
Hexadecimal 0x1EB928

Divisor Catalog (5 of 192)

1 2 3 4 5

Collatz Trajectory (109 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.

2,013,480 1,006,740 503,370 251,685 755,056

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