λ
Sequence Observatory

6,780,122

2 × 3390061
Deficient Even Composite

Starting at 6,780,122, the Collatz iteration reaches 1 after 253 steps. The first transition is 3390061; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3390061
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,170,186
Proper Divisor Sum 3,390,064
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6780119 ← → #6780133

Radix Representation

Decimal 6780122
Binary 11001110111010011011010 (23 bits)
Octal 0o31672332
Hexadecimal 0x6774DA

Divisor Catalog (4)

1 2 3,390,061 6,780,122

Collatz Trajectory (253 steps to reach 1)

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

6,780,122 3,390,061 10,170,184 5,085,092 2,542,546 1,271,273 3,813,820 1,906,910 953,455 2,860,366 1,430,183 4,290,550 2,145,275 6,435,826 3,217,913 9,653,740 4,826,870 2,413,435 7,240,306 3,620,153 10,860,460 5,430,230 2,715,115 8,145,346 4,072,673 12,218,020 6,109,010 3,054,505 9,163,516 4,581,758 2,290,879 6,872,638 3,436,319 10,308,958 5,154,479 15,463,438 7,731,719 23,195,158 11,597,579 34,792,738 17,396,369 52,189,108 26,094,554 13,047,277 39,141,832 19,570,916 9,785,458 4,892,729 14,678,188 7,339,094 3,669,547 11,008,642 5,504,321 16,512,964 8,256,482 4,128,241 12,384,724 6,192,362 3,096,181 9,288,544

More profiles

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