λ
Sigma Notebook

2,800,206

2 × 32 × 17 × 9151
Abundant Even Composite

2,800,206 is even and not a perfect square. Its factorization is 2 × 3^2 × 17 × 9151 and its 24 divisors sum to 6,424,704.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 9151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,424,704
Proper Divisor Sum 3,624,498
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2800159 ← → #2800219

Radix Representation

Decimal 2800206
Binary 1010101011101001001110 (22 bits)
Octal 0o12535116
Hexadecimal 0x2ABA4E

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 9,151 18,302 27,453 54,906 82,359 155,567 164,718 311,134 466,701 933,402 1,400,103 2,800,206

Collatz Trajectory (130 steps to reach 1)

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

2,800,206 1,400,103 4,200,310 2,100,155 6,300,466 3,150,233 9,450,700 4,725,350 2,362,675 7,088,026 3,544,013 10,632,040 5,316,020 2,658,010 1,329,005 3,987,016 1,993,508 996,754 498,377 1,495,132 747,566 373,783 1,121,350 560,675 1,682,026 841,013 2,523,040 1,261,520 630,760 315,380 157,690 78,845 236,536 118,268 59,134 29,567 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394

More profiles

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