λ
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Atlas › Integer Profiles › Node 6,131,190

6,131,190

2 × 3 × 5 × 13 × 79 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 79 × 199
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,128,000
Proper Divisor Sum 9,996,810
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6131189 ← → #6131219

Radix Representation

Decimal 6131190
Binary 10111011000110111110110 (23 bits)
Octal 0o27306766
Hexadecimal 0x5D8DF6

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 30 39 65 78 79 130 158 195 199 237 390 395 398 474 597 790 995 1,027 1,185 1,194 1,990 2,054 2,370 2,587 2,985 3,081 5,135 5,174 5,970 6,162 7,761 10,270 12,935 15,405 15,522 15,721 25,870 30,810 31,442 38,805 47,163 77,610 78,605 94,326 157,210 204,373 235,815 408,746 471,630 613,119 1,021,865

Collatz Trajectory (240 steps to reach 1)

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

6,131,190 3,065,595 9,196,786 4,598,393 13,795,180 6,897,590 3,448,795 10,346,386 5,173,193 15,519,580 7,759,790 3,879,895 11,639,686 5,819,843 17,459,530 8,729,765 26,189,296 13,094,648 6,547,324 3,273,662 1,636,831 4,910,494 2,455,247 7,365,742 3,682,871 11,048,614 5,524,307 16,572,922 8,286,461 24,859,384 12,429,692 6,214,846 3,107,423 9,322,270 4,661,135 13,983,406 6,991,703 20,975,110 10,487,555 31,462,666 15,731,333 47,194,000 23,597,000 11,798,500 5,899,250 2,949,625 8,848,876 4,424,438 2,212,219 6,636,658 3,318,329 9,954,988 4,977,494 2,488,747 7,466,242 3,733,121 11,199,364 5,599,682 2,799,841 8,399,524

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