λ
Sigma Notebook

206,328

23 × 3 × 8597
Abundant Even Composite

206,328 is even and not a perfect square. Its factorization is 2^3 × 3 × 8597 and its 16 divisors sum to 515,880.

Prime Factor Structure

Factorization String 2^3 × 3 × 8597
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 515,880
Proper Divisor Sum 309,552
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #206303 ← → #206341

Radix Representation

Decimal 206328
Binary 110010010111111000 (18 bits)
Octal 0o622770
Hexadecimal 0x325F8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 8,597 17,194 25,791 34,388 51,582 68,776 103,164 206,328

Collatz Trajectory (80 steps to reach 1)

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

206,328 103,164 51,582 25,791 77,374 38,687 116,062 58,031 174,094 87,047 261,142 130,571 391,714 195,857 587,572 293,786 146,893 440,680 220,340 110,170 55,085 165,256 82,628 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37

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