λ
Sequence Observatory

2,006,197

2006197
Deficient Odd Prime

Starting at 2,006,197, the Collatz iteration reaches 1 after 65 steps. The first transition is 6018592; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2006197
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,006,198
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2006189 ← → #2006201

Radix Representation

Decimal 2006197
Binary 111101001110010110101 (21 bits)
Octal 0o7516265
Hexadecimal 0x1E9CB5

Divisor Catalog (2)

1 2,006,197

Collatz Trajectory (65 steps to reach 1)

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

2,006,197 6,018,592 3,009,296 1,504,648 752,324 376,162 188,081 564,244 282,122 141,061 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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