1,186,830

2 × 3² × 5 × 13187

1,186,830 factors as 2 × 3^2 × 5 × 13187. Its 24 positive divisors give a proper-divisor sum of 1,899,162, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13187

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,085,992

Proper Divisor Sum 1,899,162

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1186813 ← → #1186837

Radix Representation

Decimal	1186830
Binary	100100001110000001110 (21 bits)
Octal	0o4416016
Hexadecimal	0x121C0E

Divisor Catalog (24)

Collatz Trajectory (191 steps to reach 1)

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

1,186,830 593,415 1,780,246 890,123 2,670,370 1,335,185 4,005,556 2,002,778 1,001,389 3,004,168 1,502,084 751,042 375,521 1,126,564 563,282 281,641 844,924 422,462 211,231 633,694 316,847 950,542 475,271 1,425,814 712,907 2,138,722 1,069,361 3,208,084 1,604,042 802,021 2,406,064 1,203,032 601,516 300,758 150,379 451,138 225,569 676,708 338,354 169,177 507,532 253,766 126,883 380,650 190,325 570,976 285,488 142,744 71,372 35,686 17,843 53,530 26,765 80,296 40,148 20,074 10,037 30,112 15,056 7,528

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