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Atlas › Integer Profiles › Node 55,729,366

55,729,366

2 × 72 × 11 × 17 × 3041
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 17 × 3041
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 112,359,312
Proper Divisor Sum 56,629,946
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #55729361 ← → #55729369

Radix Representation

Decimal 55729366
Binary 11010100100101110011010110 (26 bits)
Octal 0o324456326
Hexadecimal 0x3525CD6

Divisor Catalog (48)

1 2 7 11 14 17 22 34 49 77 98 119 154 187 238 374 539 833 1,078 1,309 1,666 2,618 3,041 6,082 9,163 18,326 21,287 33,451 42,574 51,697 66,902 103,394 149,009 234,157 298,018 361,879 468,314 568,667 723,758 1,137,334 1,639,099 2,533,153 3,278,198 3,980,669 5,066,306 7,961,338 27,864,683 55,729,366

Collatz Trajectory (163 steps to reach 1)

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

55,729,366 27,864,683 83,594,050 41,797,025 125,391,076 62,695,538 31,347,769 94,043,308 47,021,654 23,510,827 70,532,482 35,266,241 105,798,724 52,899,362 26,449,681 79,349,044 39,674,522 19,837,261 59,511,784 29,755,892 14,877,946 7,438,973 22,316,920 11,158,460 5,579,230 2,789,615 8,368,846 4,184,423 12,553,270 6,276,635 18,829,906 9,414,953 28,244,860 14,122,430 7,061,215 21,183,646 10,591,823 31,775,470 15,887,735 47,663,206 23,831,603 71,494,810 35,747,405 107,242,216 53,621,108 26,810,554 13,405,277 40,215,832 20,107,916 10,053,958 5,026,979 15,080,938 7,540,469 22,621,408 11,310,704 5,655,352 2,827,676 1,413,838 706,919 2,120,758

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