The Mayan Numerals Converter helps you convert numbers between the decimal system and the ancient Maya dot-and-bar numeral system. Enter a number to see its Mayan representation or enter Mayan notation to find the equivalent decimal value.
Conversion Details
Conversion Result
Place-Value Calculation
What Are Mayan Numerals?
Mayan numerals use a simple combination of dots, bars, and a shell-like symbol to represent numbers. A dot represents 1, a bar represents 5, and the shell represents zero.
The Maya generally used a base-20 positional system, so the position of a symbol matters. The bottom position represents units, the next position represents 20s, followed by 400s, 8,000s, and higher powers of 20.
Note: The general numeral system is base 20. The Maya Long Count calendar has a special variation in which the third position represents 360 rather than 400.
How to Use the Mayan Numerals Converter
- Choose Decimal to Mayan Numeral or Mayan Numeral to Decimal.
- Enter your number or Mayan notation.
- The calculator updates the result automatically.
- The visual result shows the Mayan numeral using dots, bars, and the zero symbol.
Examples
Example 1: Decimal 7
A Mayan numeral for 7 contains one bar (5) and two dots (2).
7 = 5 + 2
So the calculator displays one bar with two dots.
Example 2: Decimal 19
19 can be written as three bars and four dots.
19 = 15 + 4
This fills one base-20 position just below 20.
Example 3: Decimal 20
20 requires two positions:
1 × 20 + 0 = 20
The upper position contains one dot, while the lower position contains the shell symbol for zero.
Example 4: Decimal 400
400 is:
1 × 20² = 400
So it is represented by one dot in the 400s position and zero in the lower positions.
Example 5: Decimal 2026
The calculator converts 2026 into its base-20 positional representation and displays each level visually using the Mayan dot-and-bar symbols.
How Mayan Numerals Work
The basic values are easy to understand:
| Symbol | Value |
|---|---|
| Dot | 1 |
| Bar | 5 |
| Shell | 0 |
Each position increases by a factor of 20 in the general vigesimal system:
| Position | Value |
|---|---|
| Bottom | 1 |
| Second | 20 |
| Third | 400 |
| Fourth | 8,000 |
| Fifth | 160,000 |
This positional structure allowed the Maya to represent very large numbers using a relatively small set of symbols.
FAQs
What is a Mayan numeral?
A Mayan numeral is a number written using the ancient Maya number system. It commonly uses dots for ones, bars for fives, and a shell-like symbol for zero.
What does a dot mean in Mayan numbers?
A single dot represents 1. Up to four dots can normally appear in one Mayan numeral position.
What does a bar mean in Mayan numbers?
A bar represents 5. A position can contain up to three bars, combined with dots.
Did the Maya have a zero?
Yes. The Maya developed and used a symbol representing zero, commonly depicted as a shell-like shape.
Are Mayan numerals base 20?
Yes. The general Mayan number system is based on 20, also called a vigesimal system.
What is the difference between Mayan numerals and the Mayan calendar?
Mayan numerals are the broader number system. The Long Count calendar uses a related positional system but has a special 360-day position, so it should not always be treated as ordinary base 20.
Can this calculator convert large numbers?
Yes. This calculator supports decimal values up to 999,999,999 and displays the corresponding Mayan positional levels.
Is the Mayan numeral system still used today?
Mayan numerals are mainly studied in archaeology, history, mathematics, and Maya cultural research today, although Maya languages and communities continue to exist.
What is the best parent page for this tool?
For NexCalco, I recommend placing it under Converters → Number Converters.