17,565,669

3² × 11 × 177431

17,565,669 factors as 3^2 × 11 × 177431. Its 12 positive divisors give a proper-divisor sum of 10,113,723, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 177431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,679,392

Proper Divisor Sum 10,113,723

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #17565661 ← → #17565683

Radix Representation

Decimal	17565669
Binary	1000011000000011111100101 (25 bits)
Octal	0o103003745
Hexadecimal	0x10C07E5

Divisor Catalog (12)

1 3 9 11 33 99 177,431 532,293 1,596,879 1,951,741 5,855,223 17,565,669

Collatz Trajectory (125 steps to reach 1)

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

17,565,669 52,697,008 26,348,504 13,174,252 6,587,126 3,293,563 9,880,690 4,940,345 14,821,036 7,410,518 3,705,259 11,115,778 5,557,889 16,673,668 8,336,834 4,168,417 12,505,252 6,252,626 3,126,313 9,378,940 4,689,470 2,344,735 7,034,206 3,517,103 10,551,310 5,275,655 15,826,966 7,913,483 23,740,450 11,870,225 35,610,676 17,805,338 8,902,669 26,708,008 13,354,004 6,677,002 3,338,501 10,015,504 5,007,752 2,503,876 1,251,938 625,969 1,877,908 938,954 469,477 1,408,432 704,216 352,108 176,054 88,027 264,082 132,041 396,124 198,062 99,031 297,094 148,547 445,642 222,821 668,464

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