λ
Sigma Notebook

409,973

29 × 67 × 211
Deficient Odd Composite

409,973 is odd and not a perfect square. Its factorization is 29 × 67 × 211 and its 8 divisors sum to 432,480.

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Prime Factor Structure

Factorization String 29 × 67 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 432,480
Proper Divisor Sum 22,507
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #409967 ← → #409987

Radix Representation

Decimal 409973
Binary 1100100000101110101 (19 bits)
Octal 0o1440565
Hexadecimal 0x64175

Divisor Catalog (5 of 8)

1 29 67 211 1,943

Collatz Trajectory (174 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.

409,973 1,229,920 614,960 307,480 153,740

More profiles

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