λ
Sequence Observatory

8,320,794

2 × 3 × 263 × 5273
Abundant Even Composite

Starting at 8,320,794, the Collatz iteration reaches 1 after 106 steps. The first transition is 4160397; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 263 × 5273
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,708,032
Proper Divisor Sum 8,387,238
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8320789 ← → #8320811

Radix Representation

Decimal 8320794
Binary 11111101111011100011010 (23 bits)
Octal 0o37573432
Hexadecimal 0x7EF71A

Divisor Catalog (16)

1 2 3 6 263 526 789 1,578 5,273 10,546 15,819 31,638 1,386,799 2,773,598 4,160,397 8,320,794

Collatz Trajectory (106 steps to reach 1)

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

8,320,794 4,160,397 12,481,192 6,240,596 3,120,298 1,560,149 4,680,448 2,340,224 1,170,112 585,056 292,528 146,264 73,132 36,566 18,283 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468

More profiles

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