λ
Sigma Notebook

2,135,094

2 × 3 × 13 × 31 × 883
Abundant Even Composite

2,135,094 is even and not a perfect square. Its factorization is 2 × 3 × 13 × 31 × 883 and its 32 divisors sum to 4,752,384.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 31 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,752,384
Proper Divisor Sum 2,617,290
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2135083 ← → #2135099

Radix Representation

Decimal 2135094
Binary 1000001001010000110110 (22 bits)
Octal 0o10112066
Hexadecimal 0x209436

Divisor Catalog (32)

1 2 3 6 13 26 31 39 62 78 93 186 403 806 883 1,209 1,766 2,418 2,649 5,298 11,479 22,958 27,373 34,437 54,746 68,874 82,119 164,238 355,849 711,698 1,067,547 2,135,094

Collatz Trajectory (241 steps to reach 1)

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

2,135,094 1,067,547 3,202,642 1,601,321 4,803,964 2,401,982 1,200,991 3,602,974 1,801,487 5,404,462 2,702,231 8,106,694 4,053,347 12,160,042 6,080,021 18,240,064 9,120,032 4,560,016 2,280,008 1,140,004 570,002 285,001 855,004 427,502 213,751 641,254 320,627 961,882 480,941 1,442,824 721,412 360,706 180,353 541,060 270,530 135,265 405,796 202,898 101,449 304,348 152,174 76,087 228,262 114,131 342,394 171,197 513,592 256,796 128,398 64,199 192,598 96,299 288,898 144,449 433,348 216,674 108,337 325,012 162,506 81,253

More profiles

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