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Atlas › Integer Profiles › Node 7,275,772

7,275,772

22 × 7 × 43 × 6043
Abundant Even Composite

7,275,772 factors as 2^2 × 7 × 43 × 6043. Its 24 positive divisors give a proper-divisor sum of 7,616,644, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 6043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,892,416
Proper Divisor Sum 7,616,644
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7275769 ← → #7275773

Radix Representation

Decimal 7275772
Binary 11011110000010011111100 (23 bits)
Octal 0o33602374
Hexadecimal 0x6F04FC

Divisor Catalog (24)

1 2 4 7 14 28 43 86 172 301 602 1,204 6,043 12,086 24,172 42,301 84,602 169,204 259,849 519,698 1,039,396 1,818,943 3,637,886 7,275,772

Collatz Trajectory (173 steps to reach 1)

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

7,275,772 3,637,886 1,818,943 5,456,830 2,728,415 8,185,246 4,092,623 12,277,870 6,138,935 18,416,806 9,208,403 27,625,210 13,812,605 41,437,816 20,718,908 10,359,454 5,179,727 15,539,182 7,769,591 23,308,774 11,654,387 34,963,162 17,481,581 52,444,744 26,222,372 13,111,186 6,555,593 19,666,780 9,833,390 4,916,695 14,750,086 7,375,043 22,125,130 11,062,565 33,187,696 16,593,848 8,296,924 4,148,462 2,074,231 6,222,694 3,111,347 9,334,042 4,667,021 14,001,064 7,000,532 3,500,266 1,750,133 5,250,400 2,625,200 1,312,600 656,300 328,150 164,075 492,226 246,113 738,340 369,170 184,585 553,756 276,878

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