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Atlas › Integer Profiles › Node 36,269,620

36,269,620

22 × 5 × 23 × 37 × 2131
Abundant Even Composite

36,269,620 factors as 2^2 × 5 × 23 × 37 × 2131. Its 48 positive divisors give a proper-divisor sum of 45,394,508, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 37 × 2131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,664,128
Proper Divisor Sum 45,394,508
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36269617 ← → #36269621

Radix Representation

Decimal 36269620
Binary 10001010010110111000110100 (26 bits)
Octal 0o212267064
Hexadecimal 0x2296E34

Divisor Catalog (48)

1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1,702 2,131 3,404 4,255 4,262 8,510 8,524 10,655 17,020 21,310 42,620 49,013 78,847 98,026 157,694 196,052 245,065 315,388 394,235 490,130 788,470 980,260 1,576,940 1,813,481 3,626,962 7,253,924 9,067,405 18,134,810 36,269,620

Collatz Trajectory (134 steps to reach 1)

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

36,269,620 18,134,810 9,067,405 27,202,216 13,601,108 6,800,554 3,400,277 10,200,832 5,100,416 2,550,208 1,275,104 637,552 318,776 159,388 79,694 39,847 119,542 59,771 179,314 89,657 268,972 134,486 67,243 201,730 100,865 302,596 151,298 75,649 226,948 113,474 56,737 170,212 85,106 42,553 127,660 63,830 31,915 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392

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