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The ISO week and ISO year are issued by the International Organization for Standardization and are used to create a standard and a comparable week and year number. A week number in ISO will always start on a Monday, independent of the actual first date of the year (January first). The first week of the year always contains the 4th of January & the Thursday is always a January-day. So basically the first week can be as below, or anything in between:


Day of WeekDate
Day of WeekDate
Monday4th of JanuaryMonday29th of December
Tuesday5th of JanuaryTuesday30th of December
Wednesday6th of JanuaryWednesday31st of December
Thursday7th of January
Friday
Thursday
8th
1st of January
Saturday 
Friday
9th
8th of January
Sunday
Friday
10th
2nd of January
Day of WeekDateMonday29th of DecemberTuesday30th of DecemberWednesday31st of DecemberThursday1st
Saturday 9th of January
Friday
Saturday 
2nd
3rd of January
Saturday 
Sunday
3rd
10th of JanuarySunday4th of January




Due to this mapping, the ISO year has 52 weeks (364 days) or 53 weeks (371 days). The week number also determines which ISO year a date has. E.g. December 31st 2019 belongs to ISO week 1 of the next year, so the ISO year of 31-12-2019 is 2020