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Atlas › Integer Profiles › Node 54,800,262

54,800,262

2 × 32 × 11 × 59 × 4691
Abundant Even Composite

54,800,262 factors as 2 × 3^2 × 11 × 59 × 4691. Its 48 positive divisors give a proper-divisor sum of 76,951,098, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 59 × 4691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 131,751,360
Proper Divisor Sum 76,951,098
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #54800257 ← → #54800269

Radix Representation

Decimal 54800262
Binary 11010001000010111110000110 (26 bits)
Octal 0o321027606
Hexadecimal 0x3442F86

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1,062 1,298 1,947 3,894 4,691 5,841 9,382 11,682 14,073 28,146 42,219 51,601 84,438 103,202 154,803 276,769 309,606 464,409 553,538 830,307 928,818 1,660,614 2,490,921 3,044,459 4,981,842 6,088,918 9,133,377 18,266,754 27,400,131 54,800,262

Collatz Trajectory (106 steps to reach 1)

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

54,800,262 27,400,131 82,200,394 41,100,197 123,300,592 61,650,296 30,825,148 15,412,574 7,706,287 23,118,862 11,559,431 34,678,294 17,339,147 52,017,442 26,008,721 78,026,164 39,013,082 19,506,541 58,519,624 29,259,812 14,629,906 7,314,953 21,944,860 10,972,430 5,486,215 16,458,646 8,229,323 24,687,970 12,343,985 37,031,956 18,515,978 9,257,989 27,773,968 13,886,984 6,943,492 3,471,746 1,735,873 5,207,620 2,603,810 1,301,905 3,905,716 1,952,858 976,429 2,929,288 1,464,644 732,322 366,161 1,098,484 549,242 274,621 823,864 411,932 205,966 102,983 308,950 154,475 463,426 231,713 695,140 347,570

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