6,085,842

2 × 3 × 7 × 47 × 3083

Starting at 6,085,842, the Collatz iteration reaches 1 after 134 steps. The first transition is 3042921; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 47 × 3083

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,211,072

Proper Divisor Sum 8,125,230

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6085819 ← → #6085843

Radix Representation

Decimal	6085842
Binary	10111001101110011010010 (23 bits)
Octal	0o27156322
Hexadecimal	0x5CDCD2

Divisor Catalog (32)

1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1,974 3,083 6,166 9,249 18,498 21,581 43,162 64,743 129,486 144,901 289,802 434,703 869,406 1,014,307 2,028,614 3,042,921 6,085,842

Collatz Trajectory (134 steps to reach 1)

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

6,085,842 3,042,921 9,128,764 4,564,382 2,282,191 6,846,574 3,423,287 10,269,862 5,134,931 15,404,794 7,702,397 23,107,192 11,553,596 5,776,798 2,888,399 8,665,198 4,332,599 12,997,798 6,498,899 19,496,698 9,748,349 29,245,048 14,622,524 7,311,262 3,655,631 10,966,894 5,483,447 16,450,342 8,225,171 24,675,514 12,337,757 37,013,272 18,506,636 9,253,318 4,626,659 13,879,978 6,939,989 20,819,968 10,409,984 5,204,992 2,602,496 1,301,248 650,624 325,312 162,656 81,328 40,664 20,332 10,166 5,083 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608

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