λ
Sequence Observatory

8,198,889

3 × 2732963
Deficient Odd Composite

Starting at 8,198,889, the Collatz iteration reaches 1 after 243 steps. The first transition is 24596668; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2732963
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,931,856
Proper Divisor Sum 2,732,967
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #8198863 ← → #8198891

Radix Representation

Decimal 8198889
Binary 11111010001101011101001 (23 bits)
Octal 0o37215351
Hexadecimal 0x7D1AE9

Divisor Catalog (4)

1 3 2,732,963 8,198,889

Collatz Trajectory (243 steps to reach 1)

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

8,198,889 24,596,668 12,298,334 6,149,167 18,447,502 9,223,751 27,671,254 13,835,627 41,506,882 20,753,441 62,260,324 31,130,162 15,565,081 46,695,244 23,347,622 11,673,811 35,021,434 17,510,717 52,532,152 26,266,076 13,133,038 6,566,519 19,699,558 9,849,779 29,549,338 14,774,669 44,324,008 22,162,004 11,081,002 5,540,501 16,621,504 8,310,752 4,155,376 2,077,688 1,038,844 519,422 259,711 779,134 389,567 1,168,702 584,351 1,753,054 876,527 2,629,582 1,314,791 3,944,374 1,972,187 5,916,562 2,958,281 8,874,844 4,437,422 2,218,711 6,656,134 3,328,067 9,984,202 4,992,101 14,976,304 7,488,152 3,744,076 1,872,038

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