λ
Ratio Atlas

8,425,609

223 × 37783
Deficient Odd Composite

8,425,609 factors as 223 × 37783. Its 4 positive divisors give a proper-divisor sum of 38,007, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 223 × 37783
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,463,616
Proper Divisor Sum 38,007
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8425589 ← → #8425621

Radix Representation

Decimal 8425609
Binary 100000001001000010001001 (24 bits)
Octal 0o40110211
Hexadecimal 0x809089

Divisor Catalog (4)

1 223 37,783 8,425,609

Collatz Trajectory (129 steps to reach 1)

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

8,425,609 25,276,828 12,638,414 6,319,207 18,957,622 9,478,811 28,436,434 14,218,217 42,654,652 21,327,326 10,663,663 31,990,990 15,995,495 47,986,486 23,993,243 71,979,730 35,989,865 107,969,596 53,984,798 26,992,399 80,977,198 40,488,599 121,465,798 60,732,899 182,198,698 91,099,349 273,298,048 136,649,024 68,324,512 34,162,256 17,081,128 8,540,564 4,270,282 2,135,141 6,405,424 3,202,712 1,601,356 800,678 400,339 1,201,018 600,509 1,801,528 900,764 450,382 225,191 675,574 337,787 1,013,362 506,681 1,520,044 760,022 380,011 1,140,034 570,017 1,710,052 855,026 427,513 1,282,540 641,270 320,635

More profiles

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