ISO week numbers explained: why week 1 isn't 1 January and some years have 53 weeks
In much of Europe, business runs on week numbers: "delivery in week 37", "budget by W48". The system is ISO 8601's, and it has two properties that surprise everyone once β week 1 is not the week containing 1 January, and some years have a week 53. The week number tool looks up any date; this guide explains the rule so the surprises stop.
The rule for week 1
ISO weeks run Monday to Sunday. Week 1 is the week containing the year's first Thursday β equivalently, the week containing 4 January, or the first week with at least four days in the new year. That rule keeps weeks whole (no week is split across a year boundary) and puts the majority of week 1 in the new year. Consequences: if 1 January is a Monday, Tuesday, Wednesday or Thursday, its week is week 1; if it's a Friday, Saturday or Sunday, its week is the last week of the previous year and week 1 starts on the following Monday.
Days that belong to a different year
Because weeks are whole, up to three days at each end of the calendar year belong to the other year's week numbering. 29, 30 or 31 December can be in week 1 of the following year; 1, 2 or 3 January can be in week 52 or 53 of the previous one. ISO writes this as a week-date: 2027-W01-1 might be Monday 4 January 2027, while Friday 1 January 2027 is 2026-W53-5. Software that takes the week number from one system and the year from the calendar produces dates a year off β the classic bug in reports around New Year.
Years with 53 weeks
52 weeks are 364 days, so every year has one or two days left over, and every five or six years they accumulate into a 53rd week. A year has 53 ISO weeks when it starts on a Thursday, or is a leap year starting on a Wednesday: 2020, 2026 and 2032 are examples; most years have 52. Retail and payroll systems on weekly cycles feel this as an extra week of costs and sales in those years, and comparisons of "week 53 this year versus last year" have no counterpart. Leap years, explained properly covers the day-level version of the same drift.
ISO versus the US and other systems
The US convention starts weeks on Sunday and counts the week containing 1 January as week 1, so it can begin with a partial week and end with week 53 or 54; it is what Excel's WEEKNUM returns by default (use ISOWEEKNUM for ISO). Some countries and companies define week 1 as the first full week of the year. The differences are one week apart for parts of every year, so a week number without a stated system is ambiguous β the ISO form, with its year and W (2026-W37), is the unambiguous way to write one.
Where week numbers are used
Manufacturing and logistics scheduling, especially in Germany, Scandinavia and the Netherlands; retail and fashion buying calendars; project planning (the Gantt chart draws week lines); payroll on weekly cycles; and school and university timetables. Elsewhere they are rare enough that a week number in an email is worth translating into dates. The calendar shows ISO weeks alongside the month; the working days calculator converts a "by week 40" deadline into a date, and How working days are counted β and why 'within 5 business days' means different things covers the day-counting conventions around it.
Sources and further reading
The claims in this guide rest on these references, which were checked when the guide was last updated. Spotted an error? The contact page says how to report it.