5,779,638

2 × 3² × 321091

5,779,638 factors as 2 × 3^2 × 321091. Its 12 positive divisors give a proper-divisor sum of 6,742,950, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 321091

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,522,588

Proper Divisor Sum 6,742,950

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5779633 ← → #5779649

Radix Representation

Decimal	5779638
Binary	10110000011000010110110 (23 bits)
Octal	0o26030266
Hexadecimal	0x5830B6

Divisor Catalog (12)

1 2 3 6 9 18 321,091 642,182 963,273 1,926,546 2,889,819 5,779,638

Collatz Trajectory (183 steps to reach 1)

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

5,779,638 2,889,819 8,669,458 4,334,729 13,004,188 6,502,094 3,251,047 9,753,142 4,876,571 14,629,714 7,314,857 21,944,572 10,972,286 5,486,143 16,458,430 8,229,215 24,687,646 12,343,823 37,031,470 18,515,735 55,547,206 27,773,603 83,320,810 41,660,405 124,981,216 62,490,608 31,245,304 15,622,652 7,811,326 3,905,663 11,716,990 5,858,495 17,575,486 8,787,743 26,363,230 13,181,615 39,544,846 19,772,423 59,317,270 29,658,635 88,975,906 44,487,953 133,463,860 66,731,930 33,365,965 100,097,896 50,048,948 25,024,474 12,512,237 37,536,712 18,768,356 9,384,178 4,692,089 14,076,268 7,038,134 3,519,067 10,557,202 5,278,601 15,835,804 7,917,902

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