λ
Sequence Observatory

2,163,894

2 × 3 × 360649
Abundant Even Composite

Starting at 2,163,894, the Collatz iteration reaches 1 after 166 steps. The first transition is 1081947; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 360649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,327,800
Proper Divisor Sum 2,163,906
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2163883 ← → #2163911

Radix Representation

Decimal 2163894
Binary 1000010000010010110110 (22 bits)
Octal 0o10202266
Hexadecimal 0x2104B6

Divisor Catalog (8)

1 2 3 6 360,649 721,298 1,081,947 2,163,894

Collatz Trajectory (166 steps to reach 1)

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

2,163,894 1,081,947 3,245,842 1,622,921 4,868,764 2,434,382 1,217,191 3,651,574 1,825,787 5,477,362 2,738,681 8,216,044 4,108,022 2,054,011 6,162,034 3,081,017 9,243,052 4,621,526 2,310,763 6,932,290 3,466,145 10,398,436 5,199,218 2,599,609 7,798,828 3,899,414 1,949,707 5,849,122 2,924,561 8,773,684 4,386,842 2,193,421 6,580,264 3,290,132 1,645,066 822,533 2,467,600 1,233,800 616,900 308,450 154,225 462,676 231,338 115,669 347,008 173,504 86,752 43,376 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288

More profiles

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