205,950

2 × 3 × 5² × 1373

205,950 factors as 2 × 3 × 5^2 × 1373. Its 24 positive divisors give a proper-divisor sum of 305,178, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 1373

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 511,128

Proper Divisor Sum 305,178

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #205949 ← → #205951

Radix Representation

Decimal	205950
Binary	110010010001111110 (18 bits)
Octal	0o622176
Hexadecimal	0x3247E

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 1,373 2,746 4,119 6,865 8,238 13,730 20,595 34,325 41,190 68,650 102,975 205,950

Collatz Trajectory (173 steps to reach 1)

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

205,950 102,975 308,926 154,463 463,390 231,695 695,086 347,543 1,042,630 521,315 1,563,946 781,973 2,345,920 1,172,960 586,480 293,240 146,620 73,310 36,655 109,966 54,983 164,950 82,475 247,426 123,713 371,140 185,570 92,785 278,356 139,178 69,589 208,768 104,384 52,192 26,096 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218

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