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Atlas › Integer Profiles › Node 52,821,171

52,821,171

32 × 13 × 661 × 683
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 661 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,411,056
Proper Divisor Sum 29,589,885
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52821169 ← → #52821187

Radix Representation

Decimal 52821171
Binary 11001001011111110010110011 (26 bits)
Octal 0o311376263
Hexadecimal 0x325FCB3

Divisor Catalog (24)

1 3 9 13 39 117 661 683 1,983 2,049 5,949 6,147 8,593 8,879 25,779 26,637 77,337 79,911 451,463 1,354,389 4,063,167 5,869,019 17,607,057 52,821,171

Collatz Trajectory (243 steps to reach 1)

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

52,821,171 158,463,514 79,231,757 237,695,272 118,847,636 59,423,818 29,711,909 89,135,728 44,567,864 22,283,932 11,141,966 5,570,983 16,712,950 8,356,475 25,069,426 12,534,713 37,604,140 18,802,070 9,401,035 28,203,106 14,101,553 42,304,660 21,152,330 10,576,165 31,728,496 15,864,248 7,932,124 3,966,062 1,983,031 5,949,094 2,974,547 8,923,642 4,461,821 13,385,464 6,692,732 3,346,366 1,673,183 5,019,550 2,509,775 7,529,326 3,764,663 11,293,990 5,646,995 16,940,986 8,470,493 25,411,480 12,705,740 6,352,870 3,176,435 9,529,306 4,764,653 14,293,960 7,146,980 3,573,490 1,786,745 5,360,236 2,680,118 1,340,059 4,020,178 2,010,089

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