λ
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Atlas › Integer Profiles › Node 28,111,455

28,111,455

35 × 5 × 17 × 1361
Deficient Odd Composite

28,111,455 factors as 3^5 × 5 × 17 × 1361. Its 48 positive divisors give a proper-divisor sum of 25,431,489, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3^5 × 5 × 17 × 1361
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,542,944
Proper Divisor Sum 25,431,489
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #28111417 ← → #28111459

Radix Representation

Decimal 28111455
Binary 1101011001111001001011111 (25 bits)
Octal 0o153171137
Hexadecimal 0x1ACF25F

Divisor Catalog (48)

1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 765 1,215 1,361 1,377 2,295 4,083 4,131 6,805 6,885 12,249 20,415 20,655 23,137 36,747 61,245 69,411 110,241 115,685 183,735 208,233 330,723 347,055 551,205 624,699 1,041,165 1,653,615 1,874,097 3,123,495 5,622,291 9,370,485 28,111,455

Collatz Trajectory (180 steps to reach 1)

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

28,111,455 84,334,366 42,167,183 126,501,550 63,250,775 189,752,326 94,876,163 284,628,490 142,314,245 426,942,736 213,471,368 106,735,684 53,367,842 26,683,921 80,051,764 40,025,882 20,012,941 60,038,824 30,019,412 15,009,706 7,504,853 22,514,560 11,257,280 5,628,640 2,814,320 1,407,160 703,580 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296 593,648 296,824 148,412 74,206 37,103 111,310 55,655 166,966 83,483 250,450 125,225 375,676 187,838 93,919 281,758 140,879 422,638 211,319 633,958 316,979 950,938 475,469 1,426,408 713,204 356,602 178,301

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