Exponential growth calculator

Some things grow or decay in an exponential way. This means that for every time unit (e.g. a day) the metric changes with ± the same percentage. If you can say "it doubles every _ days" => this means it has exponential growth/increase! If you can say "it drops to half every _ days", it has logarithmic decay/decrease!

Growth calculation

Exponential factor

  • 1000000 → 2320000000 = multiply by 2320.00 (or + 231900.00 %) in 14 year(s)
  • multiply by 1.01 (or + 1.07 %) in 1 week
  • multiply by 1.05 (or + 4.72 %) in 1 month
  • multiply by 1.74 (or + 74 %) in 1 year
  • multiply by 254.24 in 1 decade
  • goes x 2 every 1.25 year(s)
  • goes x 5 every 2.91 year(s)
  • goes x 10 every 4.16 year(s)
  • goes x 100 every 8.32 year(s)

Extrapolation of data points

start point1,000,000 data point
after 42.00 month6,940,200interpolation
after 7.00 year48,166,378interpolation
after 10.50 year334,284,307interpolation
after 14.00 year2,320,000,000 data point
after 17.50 year16,101,264,380extrapolation
after 21.00 year111,745,997,691extrapolation
after 24.50 year775,539,591,493extrapolation
after 28.00 year5,382,400,000,000extrapolation
after 31.50 year37,354,933,362,242extrapolation
after 35.00 year259,250,714,643,566extrapolation
after 38.50 year1,799,251,852,263,679extrapolation
after 42.00 year12,487,168,000,000,030extrapolation

Examples

Carbon-14 has a radioactive half-life of 5730 years
Social Media: Facebook grew from 1 mio MAU in 2004 to 2.32 bil in 2018
Moore's Law: number of transistors on a chip doubles every 2 years (1990-2010)
Growth of people infected by COVID-19 in the USA between 15 and 29 March 2020
Business: month on month double digit growth = x 3.14 per year