6,855,842

2 × 7 × 67 × 7309

Starting at 6,855,842, the Collatz iteration reaches 1 after 85 steps. The first transition is 3427921; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 67 × 7309

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,929,920

Proper Divisor Sum 5,074,078

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6855829 ← → #6855869

Radix Representation

Decimal	6855842
Binary	11010001001110010100010 (23 bits)
Octal	0o32116242
Hexadecimal	0x689CA2

Divisor Catalog (16)

1 2 7 14 67 134 469 938 7,309 14,618 51,163 102,326 489,703 979,406 3,427,921 6,855,842

Collatz Trajectory (85 steps to reach 1)

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

6,855,842 3,427,921 10,283,764 5,141,882 2,570,941 7,712,824 3,856,412 1,928,206 964,103 2,892,310 1,446,155 4,338,466 2,169,233 6,507,700 3,253,850 1,626,925 4,880,776 2,440,388 1,220,194 610,097 1,830,292 915,146 457,573 1,372,720 686,360 343,180 171,590 85,795 257,386 128,693 386,080 193,040 96,520 48,260 24,130 12,065 36,196 18,098 9,049 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202

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