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Atlas › Integer Profiles › Node 15,768,126

15,768,126

2 × 32 × 11 × 97 × 821
Abundant Even Composite

15,768,126 factors as 2 × 3^2 × 11 × 97 × 821. Its 48 positive divisors give a proper-divisor sum of 21,932,082, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 97 × 821
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,700,208
Proper Divisor Sum 21,932,082
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #15768121 ← → #15768173

Radix Representation

Decimal 15768126
Binary 111100001001101000111110 (24 bits)
Octal 0o74115076
Hexadecimal 0xF09A3E

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 821 873 1,067 1,642 1,746 2,134 2,463 3,201 4,926 6,402 7,389 9,031 9,603 14,778 18,062 19,206 27,093 54,186 79,637 81,279 159,274 162,558 238,911 477,822 716,733 876,007 1,433,466 1,752,014 2,628,021 5,256,042 7,884,063 15,768,126

Collatz Trajectory (187 steps to reach 1)

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

15,768,126 7,884,063 23,652,190 11,826,095 35,478,286 17,739,143 53,217,430 26,608,715 79,826,146 39,913,073 119,739,220 59,869,610 29,934,805 89,804,416 44,902,208 22,451,104 11,225,552 5,612,776 2,806,388 1,403,194 701,597 2,104,792 1,052,396 526,198 263,099 789,298 394,649 1,183,948 591,974 295,987 887,962 443,981 1,331,944 665,972 332,986 166,493 499,480 249,740 124,870 62,435 187,306 93,653 280,960 140,480 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780

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