1,200,606

2 × 3 × 11 × 18191

1,200,606 factors as 2 × 3 × 11 × 18191. Its 16 positive divisors give a proper-divisor sum of 1,419,042, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 18191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,619,648

Proper Divisor Sum 1,419,042

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1200583 ← → #1200607

Radix Representation

Decimal	1200606
Binary	100100101000111011110 (21 bits)
Octal	0o4450736
Hexadecimal	0x1251DE

Divisor Catalog (16)

1 2 3 6 11 22 33 66 18,191 36,382 54,573 109,146 200,101 400,202 600,303 1,200,606

Collatz Trajectory (191 steps to reach 1)

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

1,200,606 600,303 1,800,910 900,455 2,701,366 1,350,683 4,052,050 2,026,025 6,078,076 3,039,038 1,519,519 4,558,558 2,279,279 6,837,838 3,418,919 10,256,758 5,128,379 15,385,138 7,692,569 23,077,708 11,538,854 5,769,427 17,308,282 8,654,141 25,962,424 12,981,212 6,490,606 3,245,303 9,735,910 4,867,955 14,603,866 7,301,933 21,905,800 10,952,900 5,476,450 2,738,225 8,214,676 4,107,338 2,053,669 6,161,008 3,080,504 1,540,252 770,126 385,063 1,155,190 577,595 1,732,786 866,393 2,599,180 1,299,590 649,795 1,949,386 974,693 2,924,080 1,462,040 731,020 365,510 182,755 548,266 274,133

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