λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,993,187

8,993,187

35 × 7 × 17 × 311
Deficient Odd Composite

8,993,187 factors as 3^5 × 7 × 17 × 311. Its 48 positive divisors give a proper-divisor sum of 7,360,605, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 17 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,353,792
Proper Divisor Sum 7,360,605
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8993167 ← → #8993191

Radix Representation

Decimal 8993187
Binary 100010010011100110100011 (24 bits)
Octal 0o42234643
Hexadecimal 0x8939A3

Divisor Catalog (48)

1 3 7 9 17 21 27 51 63 81 119 153 189 243 311 357 459 567 933 1,071 1,377 1,701 2,177 2,799 3,213 4,131 5,287 6,531 8,397 9,639 15,861 19,593 25,191 28,917 37,009 47,583 58,779 75,573 111,027 142,749 176,337 333,081 428,247 529,011 999,243 1,284,741 2,997,729 8,993,187

Collatz Trajectory (168 steps to reach 1)

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

8,993,187 26,979,562 13,489,781 40,469,344 20,234,672 10,117,336 5,058,668 2,529,334 1,264,667 3,794,002 1,897,001 5,691,004 2,845,502 1,422,751 4,268,254 2,134,127 6,402,382 3,201,191 9,603,574 4,801,787 14,405,362 7,202,681 21,608,044 10,804,022 5,402,011 16,206,034 8,103,017 24,309,052 12,154,526 6,077,263 18,231,790 9,115,895 27,347,686 13,673,843 41,021,530 20,510,765 61,532,296 30,766,148 15,383,074 7,691,537 23,074,612 11,537,306 5,768,653 17,305,960 8,652,980 4,326,490 2,163,245 6,489,736 3,244,868 1,622,434 811,217 2,433,652 1,216,826 608,413 1,825,240 912,620 456,310 228,155 684,466 342,233

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,993,186 Browse Full Index Next Integer #8,993,188 →