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Atlas › Integer Profiles › Node 54,032,382

54,032,382

2 × 32 × 23 × 130513
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 130513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 122,161,104
Proper Divisor Sum 68,128,722
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #54032369 ← → #54032393

Radix Representation

Decimal 54032382
Binary 11001110000111011111111110 (26 bits)
Octal 0o316073776
Hexadecimal 0x33877FE

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 130,513 261,026 391,539 783,078 1,174,617 2,349,234 3,001,799 6,003,598 9,005,397 18,010,794 27,016,191 54,032,382

Collatz Trajectory (199 steps to reach 1)

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

54,032,382 27,016,191 81,048,574 40,524,287 121,572,862 60,786,431 182,359,294 91,179,647 273,538,942 136,769,471 410,308,414 205,154,207 615,462,622 307,731,311 923,193,934 461,596,967 1,384,790,902 692,395,451 2,077,186,354 1,038,593,177 3,115,779,532 1,557,889,766 778,944,883 2,336,834,650 1,168,417,325 3,505,251,976 1,752,625,988 876,312,994 438,156,497 1,314,469,492 657,234,746 328,617,373 985,852,120 492,926,060 246,463,030 123,231,515 369,694,546 184,847,273 554,541,820 277,270,910 138,635,455 415,906,366 207,953,183 623,859,550 311,929,775 935,789,326 467,894,663 1,403,683,990 701,841,995 2,105,525,986 1,052,762,993 3,158,288,980 1,579,144,490 789,572,245 2,368,716,736 1,184,358,368 592,179,184 296,089,592 148,044,796 74,022,398

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