λ
Sigma Notebook

409,003

72 × 17 × 491
Deficient Odd Composite

409,003 is odd and not a perfect square. Its factorization is 7^2 × 17 × 491 and its 12 divisors sum to 504,792.

Prime Factor Structure

Factorization String 7^2 × 17 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 504,792
Proper Divisor Sum 95,789
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #408997 ← → #409007

Radix Representation

Decimal 409003
Binary 1100011110110101011 (19 bits)
Octal 0o1436653
Hexadecimal 0x63DAB

Divisor Catalog (12)

Collatz Trajectory (161 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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