6,693,856

2⁵ × 13 × 16091

Starting at 6,693,856, the Collatz iteration reaches 1 after 116 steps. The first transition is 3346928; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 16091

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,193,144

Proper Divisor Sum 7,499,288

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6693839 ← → #6693887

Radix Representation

Decimal	6693856
Binary	11001100010001111100000 (23 bits)
Octal	0o31421740
Hexadecimal	0x6623E0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 16,091 32,182 64,364 128,728 209,183 257,456 418,366 514,912 836,732 1,673,464 3,346,928 6,693,856

Collatz Trajectory (116 steps to reach 1)

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

6,693,856 3,346,928 1,673,464 836,732 418,366 209,183 627,550 313,775 941,326 470,663 1,411,990 705,995 2,117,986 1,058,993 3,176,980 1,588,490 794,245 2,382,736 1,191,368 595,684 297,842 148,921 446,764 223,382 111,691 335,074 167,537 502,612 251,306 125,653 376,960 188,480 94,240 47,120 23,560 11,780 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181

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