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Atlas › Integer Profiles › Node 26,745,950

26,745,950

2 × 52 × 7 × 11 × 6947
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 11 × 6947
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,031,744
Proper Divisor Sum 35,285,794
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #26745893 ← → #26745967

Radix Representation

Decimal 26745950
Binary 1100110000001110001011110 (25 bits)
Octal 0o146016136
Hexadecimal 0x1981C5E

Divisor Catalog (48)

1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1,925 3,850 6,947 13,894 34,735 48,629 69,470 76,417 97,258 152,834 173,675 243,145 347,350 382,085 486,290 534,919 764,170 1,069,838 1,215,725 1,910,425 2,431,450 2,674,595 3,820,850 5,349,190 13,372,975 26,745,950

Collatz Trajectory (286 steps to reach 1)

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

26,745,950 13,372,975 40,118,926 20,059,463 60,178,390 30,089,195 90,267,586 45,133,793 135,401,380 67,700,690 33,850,345 101,551,036 50,775,518 25,387,759 76,163,278 38,081,639 114,244,918 57,122,459 171,367,378 85,683,689 257,051,068 128,525,534 64,262,767 192,788,302 96,394,151 289,182,454 144,591,227 433,773,682 216,886,841 650,660,524 325,330,262 162,665,131 487,995,394 243,997,697 731,993,092 365,996,546 182,998,273 548,994,820 274,497,410 137,248,705 411,746,116 205,873,058 102,936,529 308,809,588 154,404,794 77,202,397 231,607,192 115,803,596 57,901,798 28,950,899 86,852,698 43,426,349 130,279,048 65,139,524 32,569,762 16,284,881 48,854,644 24,427,322 12,213,661 36,640,984

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