λ
Sequence Observatory

6,786,611

13 × 522047
Deficient Odd Composite

Starting at 6,786,611, the Collatz iteration reaches 1 after 266 steps. The first transition is 20359834; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 522047
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,308,672
Proper Divisor Sum 522,061
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6786589 ← → #6786643

Radix Representation

Decimal 6786611
Binary 11001111000111000110011 (23 bits)
Octal 0o31707063
Hexadecimal 0x678E33

Divisor Catalog (4)

1 13 522,047 6,786,611

Collatz Trajectory (266 steps to reach 1)

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

6,786,611 20,359,834 10,179,917 30,539,752 15,269,876 7,634,938 3,817,469 11,452,408 5,726,204 2,863,102 1,431,551 4,294,654 2,147,327 6,441,982 3,220,991 9,662,974 4,831,487 14,494,462 7,247,231 21,741,694 10,870,847 32,612,542 16,306,271 48,918,814 24,459,407 73,378,222 36,689,111 110,067,334 55,033,667 165,101,002 82,550,501 247,651,504 123,825,752 61,912,876 30,956,438 15,478,219 46,434,658 23,217,329 69,651,988 34,825,994 17,412,997 52,238,992 26,119,496 13,059,748 6,529,874 3,264,937 9,794,812 4,897,406 2,448,703 7,346,110 3,673,055 11,019,166 5,509,583 16,528,750 8,264,375 24,793,126 12,396,563 37,189,690 18,594,845 55,784,536

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