3,340,326

2 × 3 × 11² × 43 × 107

Starting at 3,340,326, the Collatz iteration reaches 1 after 133 steps. The first transition is 1670163; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 43 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,584,192

Proper Divisor Sum 4,243,866

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3340301 ← → #3340327

Radix Representation

Decimal	3340326
Binary	1100101111100000100110 (22 bits)
Octal	0o14574046
Hexadecimal	0x32F826

Divisor Catalog (48)

1 2 3 6 11 22 33 43 66 86 107 121 129 214 242 258 321 363 473 642 726 946 1,177 1,419 2,354 2,838 3,531 4,601 5,203 7,062 9,202 10,406 12,947 13,803 15,609 25,894 27,606 31,218 38,841 50,611 77,682 101,222 151,833 303,666 556,721 1,113,442 1,670,163 3,340,326

Collatz Trajectory (133 steps to reach 1)

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

3,340,326 1,670,163 5,010,490 2,505,245 7,515,736 3,757,868 1,878,934 939,467 2,818,402 1,409,201 4,227,604 2,113,802 1,056,901 3,170,704 1,585,352 792,676 396,338 198,169 594,508 297,254 148,627 445,882 222,941 668,824 334,412 167,206 83,603 250,810 125,405 376,216 188,108 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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