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Atlas › Integer Profiles › Node 53,675,298

53,675,298

2 × 35 × 179 × 617
Abundant Even Composite

53,675,298 factors as 2 × 3^5 × 179 × 617. Its 48 positive divisors give a proper-divisor sum of 67,798,782, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 179 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 121,474,080
Proper Divisor Sum 67,798,782
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #53675287 ← → #53675311

Radix Representation

Decimal 53675298
Binary 11001100110000010100100010 (26 bits)
Octal 0o314602442
Hexadecimal 0x3330522

Divisor Catalog (48)

1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 617 1,074 1,234 1,611 1,851 3,222 3,702 4,833 5,553 9,666 11,106 14,499 16,659 28,998 33,318 43,497 49,977 86,994 99,954 110,443 149,931 220,886 299,862 331,329 662,658 993,987 1,987,974 2,981,961 5,963,922 8,945,883 17,891,766 26,837,649 53,675,298

Collatz Trajectory (163 steps to reach 1)

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

53,675,298 26,837,649 80,512,948 40,256,474 20,128,237 60,384,712 30,192,356 15,096,178 7,548,089 22,644,268 11,322,134 5,661,067 16,983,202 8,491,601 25,474,804 12,737,402 6,368,701 19,106,104 9,553,052 4,776,526 2,388,263 7,164,790 3,582,395 10,747,186 5,373,593 16,120,780 8,060,390 4,030,195 12,090,586 6,045,293 18,135,880 9,067,940 4,533,970 2,266,985 6,800,956 3,400,478 1,700,239 5,100,718 2,550,359 7,651,078 3,825,539 11,476,618 5,738,309 17,214,928 8,607,464 4,303,732 2,151,866 1,075,933 3,227,800 1,613,900 806,950 403,475 1,210,426 605,213 1,815,640 907,820 453,910 226,955 680,866 340,433

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