8,543,216

2⁴ × 11 × 48541

8,543,216 factors as 2^4 × 11 × 48541. Its 20 positive divisors give a proper-divisor sum of 9,514,408, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 48541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 18,057,624

Proper Divisor Sum 9,514,408

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8543207 ← → #8543257

Radix Representation

Decimal	8543216
Binary	100000100101101111110000 (24 bits)
Octal	0o40455760
Hexadecimal	0x825BF0

Divisor Catalog (20)

Collatz Trajectory (243 steps to reach 1)

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

8,543,216 4,271,608 2,135,804 1,067,902 533,951 1,601,854 800,927 2,402,782 1,201,391 3,604,174 1,802,087 5,406,262 2,703,131 8,109,394 4,054,697 12,164,092 6,082,046 3,041,023 9,123,070 4,561,535 13,684,606 6,842,303 20,526,910 10,263,455 30,790,366 15,395,183 46,185,550 23,092,775 69,278,326 34,639,163 103,917,490 51,958,745 155,876,236 77,938,118 38,969,059 116,907,178 58,453,589 175,360,768 87,680,384 43,840,192 21,920,096 10,960,048 5,480,024 2,740,012 1,370,006 685,003 2,055,010 1,027,505 3,082,516 1,541,258 770,629 2,311,888 1,155,944 577,972 288,986 144,493 433,480 216,740 108,370 54,185

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