λ
Sigma Notebook

6,765,138

2 × 32 × 375841
Abundant Even Composite

6,765,138 is even and not a perfect square. Its factorization is 2 × 3^2 × 375841 and its 12 divisors sum to 14,657,838.

Prime Factor Structure

Factorization String 2 × 3^2 × 375841
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,657,838
Proper Divisor Sum 7,892,700
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6765131 ← → #6765139

Radix Representation

Decimal 6765138
Binary 11001110011101001010010 (23 bits)
Octal 0o31635122
Hexadecimal 0x673A52

Divisor Catalog (12)

1 2 3 6 9 18 375,841 751,682 1,127,523 2,255,046 3,382,569 6,765,138

Collatz Trajectory (222 steps to reach 1)

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

6,765,138 3,382,569 10,147,708 5,073,854 2,536,927 7,610,782 3,805,391 11,416,174 5,708,087 17,124,262 8,562,131 25,686,394 12,843,197 38,529,592 19,264,796 9,632,398 4,816,199 14,448,598 7,224,299 21,672,898 10,836,449 32,509,348 16,254,674 8,127,337 24,382,012 12,191,006 6,095,503 18,286,510 9,143,255 27,429,766 13,714,883 41,144,650 20,572,325 61,716,976 30,858,488 15,429,244 7,714,622 3,857,311 11,571,934 5,785,967 17,357,902 8,678,951 26,036,854 13,018,427 39,055,282 19,527,641 58,582,924 29,291,462 14,645,731 43,937,194 21,968,597 65,905,792 32,952,896 16,476,448 8,238,224 4,119,112 2,059,556 1,029,778 514,889 1,544,668

More profiles

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