Unix Timestamp Converter Formula

Understand the math behind the unix timestamp converter. Each variable explained with a worked example.

Use the Unix Timestamp Converter

Formulas Used

Days Since Epoch

days_since_epoch = floor(timestamp / 86400)

Remaining Hours

hours_component = floor((timestamp - floor(timestamp / 86400) * 86400) / 3600)

Remaining Minutes

minutes_component = floor((timestamp - floor(timestamp / 3600) * 3600) / 60)

Approximate Year

year_approx = 1970 + floor(timestamp / 31557600)

Variables

VariableDescriptionDefault
timestampUnix Timestamp (seconds)(seconds)1710288000

How It Works

Unix Timestamp

A Unix timestamp counts the number of seconds since January 1, 1970 00:00:00 UTC (the "epoch").

Time Components

  • 1 day = 86,400 seconds
  • 1 hour = 3,600 seconds
  • 1 minute = 60 seconds

    • Approximate Year

    Year = 1970 + floor(timestamp / 31,557,600)

    (Using average year length of 365.25 days)

    Note: This is an approximation. For exact date conversion, use a programming language date library.

    Worked Example

    Convert timestamp 1710288000 (~March 13, 2024).

    timestamp = 1710288000
    1. 01Days since epoch = 1710288000 / 86400 = 19,795 days
    2. 02Approximate year = 1970 + 19795/365.25 = 2024
    3. 03This corresponds to approximately March 13, 2024 UTC

    Frequently Asked Questions

    What is the Unix epoch?

    The Unix epoch is January 1, 1970 at 00:00:00 UTC. All Unix timestamps are measured as seconds from this date. Negative timestamps represent dates before 1970.

    What is the Year 2038 problem?

    Systems using 32-bit signed integers for timestamps will overflow on January 19, 2038. The maximum 32-bit value is 2,147,483,647 seconds. Most modern systems use 64-bit timestamps to avoid this.

    Ready to run the numbers?

    Open Unix Timestamp Converter