λ
Sequence Observatory

6,770,042

2 × 19 × 163 × 1093
Deficient Even Composite

Starting at 6,770,042, the Collatz iteration reaches 1 after 160 steps. The first transition is 3385021; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 163 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,764,960
Proper Divisor Sum 3,994,918
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6770039 ← → #6770047

Radix Representation

Decimal 6770042
Binary 11001110100110101111010 (23 bits)
Octal 0o31646572
Hexadecimal 0x674D7A

Divisor Catalog (16)

1 2 19 38 163 326 1,093 2,186 3,097 6,194 20,767 41,534 178,159 356,318 3,385,021 6,770,042

Collatz Trajectory (160 steps to reach 1)

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

6,770,042 3,385,021 10,155,064 5,077,532 2,538,766 1,269,383 3,808,150 1,904,075 5,712,226 2,856,113 8,568,340 4,284,170 2,142,085 6,426,256 3,213,128 1,606,564 803,282 401,641 1,204,924 602,462 301,231 903,694 451,847 1,355,542 677,771 2,033,314 1,016,657 3,049,972 1,524,986 762,493 2,287,480 1,143,740 571,870 285,935 857,806 428,903 1,286,710 643,355 1,930,066 965,033 2,895,100 1,447,550 723,775 2,171,326 1,085,663 3,256,990 1,628,495 4,885,486 2,442,743 7,328,230 3,664,115 10,992,346 5,496,173 16,488,520 8,244,260 4,122,130 2,061,065 6,183,196 3,091,598 1,545,799

More profiles

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