λ
Sequence Observatory

6,770,819

11 × 67 × 9187
Deficient Odd Composite

Starting at 6,770,819, the Collatz iteration reaches 1 after 147 steps. The first transition is 20312458; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 67 × 9187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,497,408
Proper Divisor Sum 726,589
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6770807 ← → #6770837

Radix Representation

Decimal 6770819
Binary 11001110101000010000011 (23 bits)
Octal 0o31650203
Hexadecimal 0x675083

Divisor Catalog (8)

1 11 67 737 9,187 101,057 615,529 6,770,819

Collatz Trajectory (147 steps to reach 1)

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

6,770,819 20,312,458 10,156,229 30,468,688 15,234,344 7,617,172 3,808,586 1,904,293 5,712,880 2,856,440 1,428,220 714,110 357,055 1,071,166 535,583 1,606,750 803,375 2,410,126 1,205,063 3,615,190 1,807,595 5,422,786 2,711,393 8,134,180 4,067,090 2,033,545 6,100,636 3,050,318 1,525,159 4,575,478 2,287,739 6,863,218 3,431,609 10,294,828 5,147,414 2,573,707 7,721,122 3,860,561 11,581,684 5,790,842 2,895,421 8,686,264 4,343,132 2,171,566 1,085,783 3,257,350 1,628,675 4,886,026 2,443,013 7,329,040 3,664,520 1,832,260 916,130 458,065 1,374,196 687,098 343,549 1,030,648 515,324 257,662

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