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Atlas › Integer Profiles › Node 5,776,668

5,776,668

22 × 32 × 17 × 9439
Abundant Even Composite

5,776,668 factors as 2^2 × 3^2 × 17 × 9439. Its 36 positive divisors give a proper-divisor sum of 9,686,052, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 9439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,462,720
Proper Divisor Sum 9,686,052
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5776649 ← → #5776679

Radix Representation

Decimal 5776668
Binary 10110000010010100011100 (23 bits)
Octal 0o26022434
Hexadecimal 0x58251C

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 9,439 18,878 28,317 37,756 56,634 84,951 113,268 160,463 169,902 320,926 339,804 481,389 641,852 962,778 1,444,167 1,925,556 2,888,334 5,776,668

Collatz Trajectory (157 steps to reach 1)

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

5,776,668 2,888,334 1,444,167 4,332,502 2,166,251 6,498,754 3,249,377 9,748,132 4,874,066 2,437,033 7,311,100 3,655,550 1,827,775 5,483,326 2,741,663 8,224,990 4,112,495 12,337,486 6,168,743 18,506,230 9,253,115 27,759,346 13,879,673 41,639,020 20,819,510 10,409,755 31,229,266 15,614,633 46,843,900 23,421,950 11,710,975 35,132,926 17,566,463 52,699,390 26,349,695 79,049,086 39,524,543 118,573,630 59,286,815 177,860,446 88,930,223 266,790,670 133,395,335 400,186,006 200,093,003 600,279,010 300,139,505 900,418,516 450,209,258 225,104,629 675,313,888 337,656,944 168,828,472 84,414,236 42,207,118 21,103,559 63,310,678 31,655,339 94,966,018 47,483,009

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