199,098

2 × 3⁴ × 1229

199,098 factors as 2 × 3^4 × 1229. Its 20 positive divisors give a proper-divisor sum of 247,392, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 1229

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 446,490

Proper Divisor Sum 247,392

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #199081 ← → #199103

Radix Representation

Decimal	199098
Binary	110000100110111010 (18 bits)
Octal	0o604672
Hexadecimal	0x309BA

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 1,229 2,458 3,687 7,374 11,061 22,122 33,183 66,366 99,549 199,098

Collatz Trajectory (98 steps to reach 1)

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

199,098 99,549 298,648 149,324 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472

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