λ
Harmonic Matrix

206,268

22 × 3 × 17189
Abundant Even Composite

206,268 has digital root 6. The neighboring primes are 206263 and 206273; its proper-divisor sum differs from the starting integer by 68,784.

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Prime Factor Structure

Factorization String 2^2 × 3 × 17189
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 481,320
Proper Divisor Sum 275,052
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #206263 ← → #206273

Radix Representation

Decimal 206268
Binary 110010010110111100 (18 bits)
Octal 0o622674
Hexadecimal 0x325BC

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (80 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.

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