λ
Sigma Notebook

492,876

22 × 32 × 13691
Abundant Even Composite

492,876 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 13691 and its 18 divisors sum to 1,245,972.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13691
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,245,972
Proper Divisor Sum 753,096
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #492871 ← → #492883

Radix Representation

Decimal 492876
Binary 1111000010101001100 (19 bits)
Octal 0o1702514
Hexadecimal 0x7854C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 13,691 27,382 41,073 54,764 82,146 123,219 164,292 246,438 492,876

Collatz Trajectory (213 steps to reach 1)

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

492,876 246,438 123,219 369,658 184,829 554,488 277,244 138,622 69,311 207,934 103,967 311,902 155,951 467,854 233,927 701,782 350,891 1,052,674 526,337 1,579,012 789,506 394,753 1,184,260 592,130 296,065 888,196 444,098 222,049 666,148 333,074 166,537 499,612 249,806 124,903 374,710 187,355 562,066 281,033 843,100 421,550 210,775 632,326 316,163 948,490 474,245 1,422,736 711,368 355,684 177,842 88,921 266,764 133,382 66,691 200,074 100,037 300,112 150,056 75,028 37,514 18,757

More profiles

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