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Atlas › Integer Profiles › Node 4,449,032

4,449,032

23 × 7 × 53 × 1499
Abundant Even Composite

4,449,032 factors as 2^3 × 7 × 53 × 1499. Its 32 positive divisors give a proper-divisor sum of 5,270,968, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 53 × 1499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,720,000
Proper Divisor Sum 5,270,968
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4449023 ← → #4449037

Radix Representation

Decimal 4449032
Binary 10000111110001100001000 (23 bits)
Octal 0o20761410
Hexadecimal 0x43E308

Divisor Catalog (32)

1 2 4 7 8 14 28 53 56 106 212 371 424 742 1,484 1,499 2,968 2,998 5,996 10,493 11,992 20,986 41,972 79,447 83,944 158,894 317,788 556,129 635,576 1,112,258 2,224,516 4,449,032

Collatz Trajectory (193 steps to reach 1)

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

4,449,032 2,224,516 1,112,258 556,129 1,668,388 834,194 417,097 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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