3,109,262

2 × 13² × 9199

3,109,262 has the prime decomposition 2 × 13^2 × 9199. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 9199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,050,800

Proper Divisor Sum 1,941,538

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3109259 ← → #3109273

Radix Representation

Decimal	3109262
Binary	1011110111000110001110 (22 bits)
Octal	0o13670616
Hexadecimal	0x2F718E

Divisor Catalog (12)

1 2 13 26 169 338 9,199 18,398 119,587 239,174 1,554,631 3,109,262

Collatz Trajectory (120 steps to reach 1)

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

3,109,262 1,554,631 4,663,894 2,331,947 6,995,842 3,497,921 10,493,764 5,246,882 2,623,441 7,870,324 3,935,162 1,967,581 5,902,744 2,951,372 1,475,686 737,843 2,213,530 1,106,765 3,320,296 1,660,148 830,074 415,037 1,245,112 622,556 311,278 155,639 466,918 233,459 700,378 350,189 1,050,568 525,284 262,642 131,321 393,964 196,982 98,491 295,474 147,737 443,212 221,606 110,803 332,410 166,205 498,616 249,308 124,654 62,327 186,982 93,491 280,474 140,237 420,712 210,356 105,178 52,589 157,768 78,884 39,442 19,721

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