6,790,134

2 × 3 × 13 × 263 × 331

Starting at 6,790,134, the Collatz iteration reaches 1 after 85 steps. The first transition is 3395067; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 263 × 331

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,724,864

Proper Divisor Sum 7,934,730

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6790111 ← → #6790141

Radix Representation

Decimal	6790134
Binary	11001111001101111110110 (23 bits)
Octal	0o31715766
Hexadecimal	0x679BF6

Divisor Catalog (32)

1 2 3 6 13 26 39 78 263 331 526 662 789 993 1,578 1,986 3,419 4,303 6,838 8,606 10,257 12,909 20,514 25,818 87,053 174,106 261,159 522,318 1,131,689 2,263,378 3,395,067 6,790,134

Collatz Trajectory (85 steps to reach 1)

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

6,790,134 3,395,067 10,185,202 5,092,601 15,277,804 7,638,902 3,819,451 11,458,354 5,729,177 17,187,532 8,593,766 4,296,883 12,890,650 6,445,325 19,335,976 9,667,988 4,833,994 2,416,997 7,250,992 3,625,496 1,812,748 906,374 453,187 1,359,562 679,781 2,039,344 1,019,672 509,836 254,918 127,459 382,378 191,189 573,568 286,784 143,392 71,696 35,848 17,924 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200

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