λ
Sequence Observatory

8,080,554

2 × 3 × 691 × 1949
Abundant Even Composite

Starting at 8,080,554, the Collatz iteration reaches 1 after 186 steps. The first transition is 4040277; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 691 × 1949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,192,800
Proper Divisor Sum 8,112,246
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8080537 ← → #8080561

Radix Representation

Decimal 8080554
Binary 11110110100110010101010 (23 bits)
Octal 0o36646252
Hexadecimal 0x7B4CAA

Divisor Catalog (16)

1 2 3 6 691 1,382 1,949 2,073 3,898 4,146 5,847 11,694 1,346,759 2,693,518 4,040,277 8,080,554

Collatz Trajectory (186 steps to reach 1)

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

8,080,554 4,040,277 12,120,832 6,060,416 3,030,208 1,515,104 757,552 378,776 189,388 94,694 47,347 142,042 71,021 213,064 106,532 53,266 26,633 79,900 39,950 19,975 59,926 29,963 89,890 44,945 134,836 67,418 33,709 101,128 50,564 25,282 12,641 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272

More profiles

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