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Atlas › Integer Profiles › Node 28,100,744

28,100,744

23 × 7 × 41 × 12239
Abundant Even Composite

28,100,744 factors as 2^3 × 7 × 41 × 12239. Its 32 positive divisors give a proper-divisor sum of 33,588,856, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 41 × 12239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,689,600
Proper Divisor Sum 33,588,856
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #28100741 ← → #28100749

Radix Representation

Decimal 28100744
Binary 1101011001100100010001000 (25 bits)
Octal 0o153144210
Hexadecimal 0x1ACC888

Divisor Catalog (32)

1 2 4 7 8 14 28 41 56 82 164 287 328 574 1,148 2,296 12,239 24,478 48,956 85,673 97,912 171,346 342,692 501,799 685,384 1,003,598 2,007,196 3,512,593 4,014,392 7,025,186 14,050,372 28,100,744

Collatz Trajectory (74 steps to reach 1)

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

28,100,744 14,050,372 7,025,186 3,512,593 10,537,780 5,268,890 2,634,445 7,903,336 3,951,668 1,975,834 987,917 2,963,752 1,481,876 740,938 370,469 1,111,408 555,704 277,852 138,926 69,463 208,390 104,195 312,586 156,293 468,880 234,440 117,220 58,610 29,305 87,916 43,958 21,979 65,938 32,969 98,908 49,454 24,727 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23

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