λ
Sequence Observatory

6,771,811

613 × 11047
Deficient Odd Composite

Starting at 6,771,811, the Collatz iteration reaches 1 after 147 steps. The first transition is 20315434; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 613 × 11047
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,783,472
Proper Divisor Sum 11,661
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6771803 ← → #6771871

Radix Representation

Decimal 6771811
Binary 11001110101010001100011 (23 bits)
Octal 0o31652143
Hexadecimal 0x675463

Divisor Catalog (4)

1 613 11,047 6,771,811

Collatz Trajectory (147 steps to reach 1)

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

6,771,811 20,315,434 10,157,717 30,473,152 15,236,576 7,618,288 3,809,144 1,904,572 952,286 476,143 1,428,430 714,215 2,142,646 1,071,323 3,213,970 1,606,985 4,820,956 2,410,478 1,205,239 3,615,718 1,807,859 5,423,578 2,711,789 8,135,368 4,067,684 2,033,842 1,016,921 3,050,764 1,525,382 762,691 2,288,074 1,144,037 3,432,112 1,716,056 858,028 429,014 214,507 643,522 321,761 965,284 482,642 241,321 723,964 361,982 180,991 542,974 271,487 814,462 407,231 1,221,694 610,847 1,832,542 916,271 2,748,814 1,374,407 4,123,222 2,061,611 6,184,834 3,092,417 9,277,252

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