λ
Zalai Atlas

1,829,691

32 × 263 × 773
Deficient Odd Composite

1,829,691 has the prime decomposition 3^2 × 263 × 773. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 263 × 773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,656,368
Proper Divisor Sum 826,677
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1829683 ← → #1829699

Radix Representation

Decimal 1829691
Binary 110111110101100111011 (21 bits)
Octal 0o6765473
Hexadecimal 0x1BEB3B

Divisor Catalog (5 of 12)

1 3 9 263 773

Collatz Trajectory (83 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.

1,829,691 5,489,074 2,744,537 8,233,612 4,116,806

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