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Atlas › Integer Profiles › Node 5,083,500

5,083,500

22 × 3 × 53 × 3389
Abundant Even Composite

5,083,500 factors as 2^2 × 3 × 5^3 × 3389. Its 48 positive divisors give a proper-divisor sum of 9,724,020, so this integer is abundant. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 3389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,807,520
Proper Divisor Sum 9,724,020
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5083489 ← → #5083511

Radix Representation

Decimal 5083500
Binary 10011011001000101101100 (23 bits)
Octal 0o23310554
Hexadecimal 0x4D916C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1,500 3,389 6,778 10,167 13,556 16,945 20,334 33,890 40,668 50,835 67,780 84,725 101,670 169,450 203,340 254,175 338,900 423,625 508,350 847,250 1,016,700 1,270,875 1,694,500 2,541,750 5,083,500

Collatz Trajectory (250 steps to reach 1)

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

5,083,500 2,541,750 1,270,875 3,812,626 1,906,313 5,718,940 2,859,470 1,429,735 4,289,206 2,144,603 6,433,810 3,216,905 9,650,716 4,825,358 2,412,679 7,238,038 3,619,019 10,857,058 5,428,529 16,285,588 8,142,794 4,071,397 12,214,192 6,107,096 3,053,548 1,526,774 763,387 2,290,162 1,145,081 3,435,244 1,717,622 858,811 2,576,434 1,288,217 3,864,652 1,932,326 966,163 2,898,490 1,449,245 4,347,736 2,173,868 1,086,934 543,467 1,630,402 815,201 2,445,604 1,222,802 611,401 1,834,204 917,102 458,551 1,375,654 687,827 2,063,482 1,031,741 3,095,224 1,547,612 773,806 386,903 1,160,710

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