3,349,346

2 × 7² × 11 × 13 × 239

3,349,346 is even and not a perfect square. Its factorization is 2 × 7^2 × 11 × 13 × 239 and its 48 divisors sum to 6,894,720.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 13 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,894,720

Proper Divisor Sum 3,545,374

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3349343 ← → #3349349

Radix Representation

Decimal	3349346
Binary	1100110001101101100010 (22 bits)
Octal	0o14615542
Hexadecimal	0x331B62

Divisor Catalog (48)

1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 239 286 478 539 637 1,001 1,078 1,274 1,673 2,002 2,629 3,107 3,346 5,258 6,214 7,007 11,711 14,014 18,403 21,749 23,422 34,177 36,806 43,498 68,354 128,821 152,243 239,239 257,642 304,486 478,478 1,674,673 3,349,346

Collatz Trajectory (177 steps to reach 1)

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

3,349,346 1,674,673 5,024,020 2,512,010 1,256,005 3,768,016 1,884,008 942,004 471,002 235,501 706,504 353,252 176,626 88,313 264,940 132,470 66,235 198,706 99,353 298,060 149,030 74,515 223,546 111,773 335,320 167,660 83,830 41,915 125,746 62,873 188,620 94,310 47,155 141,466 70,733 212,200 106,100 53,050 26,525 79,576 39,788 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248

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