1,186,506

2 × 3² × 29 × 2273

1,186,506 has digital root 9. The neighboring primes are 1186489 and 1186517; its proper-divisor sum differs from the starting integer by 287,568.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 2273

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,660,580

Proper Divisor Sum 1,474,074

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1186489 ← → #1186517

Radix Representation

Decimal	1186506
Binary	100100001101011001010 (21 bits)
Octal	0o4415312
Hexadecimal	0x121ACA

Divisor Catalog (24)

1 2 3 6 9 18 29 58 87 174 261 522 2,273 4,546 6,819 13,638 20,457 40,914 65,917 131,834 197,751 395,502 593,253 1,186,506

Collatz Trajectory (116 steps to reach 1)

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

1,186,506 593,253 1,779,760 889,880 444,940 222,470 111,235 333,706 166,853 500,560 250,280 125,140 62,570 31,285 93,856 46,928 23,464 11,732 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276

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