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Atlas › Integer Profiles › Node 33,298,100

33,298,100

22 × 52 × 11 × 30271
Abundant Even Composite

33,298,100 factors as 2^2 × 5^2 × 11 × 30271. Its 36 positive divisors give a proper-divisor sum of 45,530,188, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 30271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 78,828,288
Proper Divisor Sum 45,530,188
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #33298099 ← → #33298103

Radix Representation

Decimal 33298100
Binary 1111111000001011010110100 (25 bits)
Octal 0o177013264
Hexadecimal 0x1FC16B4

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1,100 30,271 60,542 121,084 151,355 302,710 332,981 605,420 665,962 756,775 1,331,924 1,513,550 1,664,905 3,027,100 3,329,810 6,659,620 8,324,525 16,649,050 33,298,100

Collatz Trajectory (139 steps to reach 1)

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

33,298,100 16,649,050 8,324,525 24,973,576 12,486,788 6,243,394 3,121,697 9,365,092 4,682,546 2,341,273 7,023,820 3,511,910 1,755,955 5,267,866 2,633,933 7,901,800 3,950,900 1,975,450 987,725 2,963,176 1,481,588 740,794 370,397 1,111,192 555,596 277,798 138,899 416,698 208,349 625,048 312,524 156,262 78,131 234,394 117,197 351,592 175,796 87,898 43,949 131,848 65,924 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206

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