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4,449,036

22 × 3 × 17 × 113 × 193
Abundant Even Composite

4,449,036 factors as 2^2 × 3 × 17 × 113 × 193. Its 48 positive divisors give a proper-divisor sum of 6,697,428, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 113 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,146,464
Proper Divisor Sum 6,697,428
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4449023 ← → #4449037

Radix Representation

Decimal 4449036
Binary 10000111110001100001100 (23 bits)
Octal 0o20761414
Hexadecimal 0x43E30C

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 102 113 193 204 226 339 386 452 579 678 772 1,158 1,356 1,921 2,316 3,281 3,842 5,763 6,562 7,684 9,843 11,526 13,124 19,686 21,809 23,052 39,372 43,618 65,427 87,236 130,854 261,708 370,753 741,506 1,112,259 1,483,012 2,224,518 4,449,036

Collatz Trajectory (193 steps to reach 1)

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

4,449,036 2,224,518 1,112,259 3,336,778 1,668,389 5,005,168 2,502,584 1,251,292 625,646 312,823 938,470 469,235 1,407,706 703,853 2,111,560 1,055,780 527,890 263,945 791,836 395,918 197,959 593,878 296,939 890,818 445,409 1,336,228 668,114 334,057 1,002,172 501,086 250,543 751,630 375,815 1,127,446 563,723 1,691,170 845,585 2,536,756 1,268,378 634,189 1,902,568 951,284 475,642 237,821 713,464 356,732 178,366 89,183 267,550 133,775 401,326 200,663 601,990 300,995 902,986 451,493 1,354,480 677,240 338,620 169,310

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