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5,117,085

32 × 5 × 17 × 6689
Deficient Odd Composite

5,117,085 factors as 3^2 × 5 × 17 × 6689. Its 24 positive divisors give a proper-divisor sum of 4,275,675, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 6689
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,392,760
Proper Divisor Sum 4,275,675
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5117083 ← → #5117089

Radix Representation

Decimal 5117085
Binary 10011100001010010011101 (23 bits)
Octal 0o23412235
Hexadecimal 0x4E149D

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 6,689 20,067 33,445 60,201 100,335 113,713 301,005 341,139 568,565 1,023,417 1,705,695 5,117,085

Collatz Trajectory (100 steps to reach 1)

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

5,117,085 15,351,256 7,675,628 3,837,814 1,918,907 5,756,722 2,878,361 8,635,084 4,317,542 2,158,771 6,476,314 3,238,157 9,714,472 4,857,236 2,428,618 1,214,309 3,642,928 1,821,464 910,732 455,366 227,683 683,050 341,525 1,024,576 512,288 256,144 128,072 64,036 32,018 16,009 48,028 24,014 12,007 36,022 18,011 54,034 27,017 81,052 40,526 20,263 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410

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