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Atlas › Integer Profiles › Node 6,134,892

6,134,892

22 × 3 × 172 × 29 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 17^2 × 29 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 15,988,560
Proper Divisor Sum 9,853,668
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6134881 ← → #6134893

Radix Representation

Decimal 6134892
Binary 10111011001110001101100 (23 bits)
Octal 0o27316154
Hexadecimal 0x5D9C6C

Divisor Catalog (60 of 72)

1 2 3 4 6 12 17 29 34 51 58 61 68 87 102 116 122 174 183 204 244 289 348 366 493 578 732 867 986 1,037 1,156 1,479 1,734 1,769 1,972 2,074 2,958 3,111 3,468 3,538 4,148 5,307 5,916 6,222 7,076 8,381 10,614 12,444 16,762 17,629 21,228 25,143 30,073 33,524 35,258 50,286 52,887 60,146 70,516 90,219

Collatz Trajectory (152 steps to reach 1)

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

6,134,892 3,067,446 1,533,723 4,601,170 2,300,585 6,901,756 3,450,878 1,725,439 5,176,318 2,588,159 7,764,478 3,882,239 11,646,718 5,823,359 17,470,078 8,735,039 26,205,118 13,102,559 39,307,678 19,653,839 58,961,518 29,480,759 88,442,278 44,221,139 132,663,418 66,331,709 198,995,128 99,497,564 49,748,782 24,874,391 74,623,174 37,311,587 111,934,762 55,967,381 167,902,144 83,951,072 41,975,536 20,987,768 10,493,884 5,246,942 2,623,471 7,870,414 3,935,207 11,805,622 5,902,811 17,708,434 8,854,217 26,562,652 13,281,326 6,640,663 19,921,990 9,960,995 29,882,986 14,941,493 44,824,480 22,412,240 11,206,120 5,603,060 2,801,530 1,400,765

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