Week Number

ISO week of the year

About This Calculator

The ISO 8601 standard defines week numbering: week 1 is the week containing the year's first Thursday. ISO weeks run Monday to Sunday, and a year always has 52 or 53 weeks. Week numbers are widely used in business scheduling, academic calendars, and international project planning.

Formula

ISO week: Week 1 = week containing January 4 (or first Thursday)
Week runs Monday through Sunday
Week number = ceil((dayOfYear + dayOfWeek(Jan 1) − 1) / 7) (approximate)
A year has 53 weeks if it starts on Thursday, or is a leap year starting on Wednesday

Example Calculation

What ISO week number is March 16, 2026?

  1. January 1, 2026 is a Thursday (Week 1)
  2. March 16 = day 75 of 2026
  3. Week = ceil(75/7) ≈ Week 12
  4. Jan 1 (Thu) means week 1 starts Jan 1, so March 16 = Week 11 (verify: March 9-15 = Week 11, March 16-22 = Week 12)
March 16, 2026 = ISO Week 12

Week Number Rules

Day Jan 1 fallsWeek 1 starts53-week year?
MondayJan 1No
TuesdayDec 31 (prev)No
WednesdayDec 30 (prev)No (unless leap year)
ThursdayDec 29 (prev)Yes
FridayJan 4No
SaturdayJan 3No
SundayJan 2No

Frequently Asked Questions

Does everyone use ISO week numbering?
ISO 8601 weeks are standard in Europe and international business. The US commonly uses a system where Week 1 starts January 1, and weeks may start on Sunday. Always clarify which system is being used when sharing week numbers internationally.
Why can a year have 53 weeks?
A 52-week year has 364 days, but most years have 365 (or 366) days. The extra day(s) push part of the year into a 53rd week. This happens when January 1 is a Thursday, or when it's a leap year starting on Wednesday or Thursday.
What does 'fiscal week' mean?
Many companies define a fiscal calendar that doesn't align with the standard calendar. A company's 'Week 1' might start on a date other than January 1. Retail and manufacturing often use a '4-4-5' quarter system with 13-week quarters.
How do I convert between week number and date?
For ISO weeks: the first day (Monday) of week W in year Y = January 4 of year Y + (W-1) weeks − (dayOfWeek of Jan 4 − 1) days. This formula handles the edge cases where Week 1 starts in the previous December.