λ
Sigma Notebook

6,136,824

23 × 3 × 241 × 1061
Abundant Even Composite

6,136,824 is even and not a perfect square. Its factorization is 2^3 × 3 × 241 × 1061 and its 32 divisors sum to 15,420,240.

Prime Factor Structure

Factorization String 2^3 × 3 × 241 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,420,240
Proper Divisor Sum 9,283,416
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6136807 ← → #6136841

Radix Representation

Decimal 6136824
Binary 10111011010001111111000 (23 bits)
Octal 0o27321770
Hexadecimal 0x5DA3F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 241 482 723 964 1,061 1,446 1,928 2,122 2,892 3,183 4,244 5,784 6,366 8,488 12,732 25,464 255,701 511,402 767,103 1,022,804 1,534,206 2,045,608 3,068,412 6,136,824

Collatz Trajectory (196 steps to reach 1)

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

6,136,824 3,068,412 1,534,206 767,103 2,301,310 1,150,655 3,451,966 1,725,983 5,177,950 2,588,975 7,766,926 3,883,463 11,650,390 5,825,195 17,475,586 8,737,793 26,213,380 13,106,690 6,553,345 19,660,036 9,830,018 4,915,009 14,745,028 7,372,514 3,686,257 11,058,772 5,529,386 2,764,693 8,294,080 4,147,040 2,073,520 1,036,760 518,380 259,190 129,595 388,786 194,393 583,180 291,590 145,795 437,386 218,693 656,080 328,040 164,020 82,010 41,005 123,016 61,508 30,754 15,377 46,132 23,066 11,533 34,600 17,300 8,650 4,325 12,976 6,488

More profiles

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