The key Fibonacci ratio of 61.8% is found by dividing one number in the series by the number that follows it. For example, 21 divided by 34 equals 0.6176, and 55 divided by 89 equals about 0.61798.

After dividing 1 by 999-quattuordecillion (a number that’s 48 integers long), you get the Fibonacci sequence presented in neat, 24-digit strings. Here’s why that happens. As a quick refresher ...

A fibonacci sequence is simple enough to generate: Starting with the number one, you merely add the previous two numbers in the sequence to generate the next one. So the sequence, early on, is 1 ...

The numbers 3, 5, 8, 13, and 21 are all Fibonacci numbers—members of a sequence in which successive numbers are sums of the preceding two numbers, starting with 1 and 1: 1, 1, 2, 3, 5, 8, 13, 21 ...

If I want to know, say the 1,000,000th Fibonacci number, I need to compute the first 999,999 of them. A computer could do it quickly, but doing it by hand would take a while.

The key Fibonacci ratio of 61.8% is found by dividing one number in the series by the number that follows it. For example, 21 divided by 34 equals 0.6176, and 55 divided by 89 equals about 0.61798.

Look closely at a sunflower, and you'll see the distinct spiral in its center. | UrsaHoogle/iStock via Getty Images Many flowers have petals that add up to Fibonacci numbers, including buttercups ...

The most notable relationship can be found by dividing one Fibonacci number by the next one in the series, which will give you the “Golden Ratio” of 0.618.