λ
Sigma Notebook

3,221,205

3 × 5 × 13 × 16519
Deficient Odd Composite

3,221,205 is odd and not a perfect square. Its factorization is 3 × 5 × 13 × 16519 and its 16 divisors sum to 5,550,720.

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Prime Factor Structure

Factorization String 3 × 5 × 13 × 16519
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,550,720
Proper Divisor Sum 2,329,515
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3221189 ← → #3221237

Radix Representation

Decimal 3221205
Binary 1100010010011011010101 (22 bits)
Octal 0o14223325
Hexadecimal 0x3126D5

Divisor Catalog (5 of 16)

1 3 5 13 15

Collatz Trajectory (208 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.

3,221,205 9,663,616 4,831,808 2,415,904 1,207,952

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