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Zalai Atlas

2,097,513

32 × 11 × 21187
Deficient Odd Composite

2,097,513 has the prime decomposition 3^2 × 11 × 21187. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 11 × 21187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,305,328
Proper Divisor Sum 1,207,815
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2097503 ← → #2097517

Radix Representation

Decimal 2097513
Binary 1000000000000101101001 (22 bits)
Octal 0o10000551
Hexadecimal 0x200169

Divisor Catalog (5 of 12)

1 3 9 11 33

Collatz Trajectory (104 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.

2,097,513 6,292,540 3,146,270 1,573,135 4,719,406

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