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Atlas › Integer Profiles › Node 6,137,046

6,137,046

2 × 34 × 43 × 881
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 43 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,087,304
Proper Divisor Sum 7,950,258
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6137041 ← → #6137059

Radix Representation

Decimal 6137046
Binary 10111011010010011010110 (23 bits)
Octal 0o27322326
Hexadecimal 0x5DA4D6

Divisor Catalog (40)

1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 881 1,161 1,762 2,322 2,643 3,483 5,286 6,966 7,929 15,858 23,787 37,883 47,574 71,361 75,766 113,649 142,722 227,298 340,947 681,894 1,022,841 2,045,682 3,068,523 6,137,046

Collatz Trajectory (152 steps to reach 1)

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

6,137,046 3,068,523 9,205,570 4,602,785 13,808,356 6,904,178 3,452,089 10,356,268 5,178,134 2,589,067 7,767,202 3,883,601 11,650,804 5,825,402 2,912,701 8,738,104 4,369,052 2,184,526 1,092,263 3,276,790 1,638,395 4,915,186 2,457,593 7,372,780 3,686,390 1,843,195 5,529,586 2,764,793 8,294,380 4,147,190 2,073,595 6,220,786 3,110,393 9,331,180 4,665,590 2,332,795 6,998,386 3,499,193 10,497,580 5,248,790 2,624,395 7,873,186 3,936,593 11,809,780 5,904,890 2,952,445 8,857,336 4,428,668 2,214,334 1,107,167 3,321,502 1,660,751 4,982,254 2,491,127 7,473,382 3,736,691 11,210,074 5,605,037 16,815,112 8,407,556

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