7,042,926

2 × 3 × 11² × 89 × 109

Starting at 7,042,926, the Collatz iteration reaches 1 after 191 steps. The first transition is 3521463; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 89 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,800,400

Proper Divisor Sum 8,757,474

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7042907 ← → #7042933

Radix Representation

Decimal	7042926
Binary	11010110111011101101110 (23 bits)
Octal	0o32673556
Hexadecimal	0x6B776E

Divisor Catalog (48)

1 2 3 6 11 22 33 66 89 109 121 178 218 242 267 327 363 534 654 726 979 1,199 1,958 2,398 2,937 3,597 5,874 7,194 9,701 10,769 13,189 19,402 21,538 26,378 29,103 32,307 39,567 58,206 64,614 79,134 106,711 213,422 320,133 640,266 1,173,821 2,347,642 3,521,463 7,042,926

Collatz Trajectory (191 steps to reach 1)

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

7,042,926 3,521,463 10,564,390 5,282,195 15,846,586 7,923,293 23,769,880 11,884,940 5,942,470 2,971,235 8,913,706 4,456,853 13,370,560 6,685,280 3,342,640 1,671,320 835,660 417,830 208,915 626,746 313,373 940,120 470,060 235,030 117,515 352,546 176,273 528,820 264,410 132,205 396,616 198,308 99,154 49,577 148,732 74,366 37,183 111,550 55,775 167,326 83,663 250,990 125,495 376,486 188,243 564,730 282,365 847,096 423,548 211,774 105,887 317,662 158,831 476,494 238,247 714,742 357,371 1,072,114 536,057 1,608,172

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