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Atlas › Integer Profiles › Node 5,083,947

5,083,947

32 × 11 × 89 × 577
Deficient Odd Composite

5,083,947 factors as 3^2 × 11 × 89 × 577. Its 24 positive divisors give a proper-divisor sum of 3,031,173, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 89 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,115,120
Proper Divisor Sum 3,031,173
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5083931 ← → #5083957

Radix Representation

Decimal 5083947
Binary 10011011001001100101011 (23 bits)
Octal 0o23311453
Hexadecimal 0x4D932B

Divisor Catalog (24)

1 3 9 11 33 89 99 267 577 801 979 1,731 2,937 5,193 6,347 8,811 19,041 51,353 57,123 154,059 462,177 564,883 1,694,649 5,083,947

Collatz Trajectory (131 steps to reach 1)

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

5,083,947 15,251,842 7,625,921 22,877,764 11,438,882 5,719,441 17,158,324 8,579,162 4,289,581 12,868,744 6,434,372 3,217,186 1,608,593 4,825,780 2,412,890 1,206,445 3,619,336 1,809,668 904,834 452,417 1,357,252 678,626 339,313 1,017,940 508,970 254,485 763,456 381,728 190,864 95,432 47,716 23,858 11,929 35,788 17,894 8,947 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258

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