✨ Magic Number: 0.142857
One divided by seven creates one of mathematics' most fascinating patterns. Discover why 0.142857 is called the "magic number."
🔮 Did You Know?
The 6-Cycle
1/7 creates a repeating pattern exactly 6 digits long: 0.142857142857...
Magical Multiplication
Multiply by 2, 3, 4, 5, or 6 and the digits stay the same, just starting from different positions!
Explore More Fractions
See step-by-step division for 1/7 and other fractions!
Try Fraction Calculator →More Math Visualizations
❓ Frequently Asked Questions
Why is 0.142857 called the "magic number"?
Because multiplying 142857 by 2, 3, 4, 5, or 6 gives the same digits in a different order: 142857 × 2 = 285714, 142857 × 3 = 428571, etc.
What's special about 1/7?
1/7 has the longest possible repetend for single-digit denominators - 6 digits. No other fraction with a single-digit denominator has a longer repeating pattern!
Does this pattern continue?
Yes! The pattern continues infinitely: 0.142857142857142857... You can verify this with our Fraction Calculator.