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Atlas › Integer Profiles › Node 18,216,080

18,216,080

24 × 5 × 109 × 2089
Abundant Even Composite

18,216,080 factors as 2^4 × 5 × 109 × 2089. Its 40 positive divisors give a proper-divisor sum of 24,545,320, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 109 × 2089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 42,761,400
Proper Divisor Sum 24,545,320
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #18216071 ← → #18216097

Radix Representation

Decimal 18216080
Binary 1000101011111010010010000 (25 bits)
Octal 0o105372220
Hexadecimal 0x115F490

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1,090 1,744 2,089 2,180 4,178 4,360 8,356 8,720 10,445 16,712 20,890 33,424 41,780 83,560 167,120 227,701 455,402 910,804 1,138,505 1,821,608 2,277,010 3,643,216 4,554,020 9,108,040 18,216,080

Collatz Trajectory (164 steps to reach 1)

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

18,216,080 9,108,040 4,554,020 2,277,010 1,138,505 3,415,516 1,707,758 853,879 2,561,638 1,280,819 3,842,458 1,921,229 5,763,688 2,881,844 1,440,922 720,461 2,161,384 1,080,692 540,346 270,173 810,520 405,260 202,630 101,315 303,946 151,973 455,920 227,960 113,980 56,990 28,495 85,486 42,743 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546

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