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Zalai Atlas

1,005,219

32 × 61 × 1831
Deficient Odd Composite

1,005,219 has the prime decomposition 3^2 × 61 × 1831. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 61 × 1831
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,476,592
Proper Divisor Sum 471,373
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1005217 ← → #1005223

Radix Representation

Decimal 1005219
Binary 11110101011010100011 (20 bits)
Octal 0o3653243
Hexadecimal 0xF56A3

Divisor Catalog (5 of 12)

1 3 9 61 183

Collatz Trajectory (90 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.

1,005,219 3,015,658 1,507,829 4,523,488 2,261,744

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