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Atlas › Integer Profiles › Node 7,541,550

7,541,550

2 × 32 × 52 × 16759
Abundant Even Composite

7,541,550 factors as 2 × 3^2 × 5^2 × 16759. Its 36 positive divisors give a proper-divisor sum of 12,721,290, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 16759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,262,840
Proper Divisor Sum 12,721,290
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7541533 ← → #7541579

Radix Representation

Decimal 7541550
Binary 11100110001001100101110 (23 bits)
Octal 0o34611456
Hexadecimal 0x73132E

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 16,759 33,518 50,277 83,795 100,554 150,831 167,590 251,385 301,662 418,975 502,770 754,155 837,950 1,256,925 1,508,310 2,513,850 3,770,775 7,541,550

Collatz Trajectory (173 steps to reach 1)

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

7,541,550 3,770,775 11,312,326 5,656,163 16,968,490 8,484,245 25,452,736 12,726,368 6,363,184 3,181,592 1,590,796 795,398 397,699 1,193,098 596,549 1,789,648 894,824 447,412 223,706 111,853 335,560 167,780 83,890 41,945 125,836 62,918 31,459 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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