Powerball Number Statistics
Comprehensive analysis of 3,196 historical draws — frequency, trends, streaks & randomness
Number Frequency
How often each number has been drawn across 3,196 draws
The frequency chart below shows every number that has appeared in Powerball draws. Taller bars indicate numbers drawn more often. A perfectly random lottery would show nearly equal bars across all numbers.
Most Frequently Drawn Numbers
| Rank | Number | Times Drawn | Frequency |
|---|---|---|---|
| #1 | 20 | 402 | 12.58% |
| #2 | 23 | 386 | 12.08% |
| #3 | 14 | 382 | 11.95% |
| #4 | 2 | 376 | 11.76% |
| #5 | 19 | 374 | 11.7% |
| #6 | 6 | 373 | 11.67% |
| #7 | 5 | 372 | 11.64% |
| #8 | 21 | 372 | 11.64% |
| #9 | 24 | 370 | 11.58% |
| #10 | 16 | 369 | 11.55% |
Hot & Cold Numbers
Comparing the last 20 draws against all 3196 draws
Hot numbers are appearing more frequently in recent draws than their historical average. Cold numbers are appearing less often. The delta shows the percentage point difference between recent and overall frequency.
Hot Numbers
Cold Numbers
Unusual Streaks
Consecutive draw appearances and notable absences
Streaks reveal patterns in how numbers behave over time. A long appearing streak means a number was drawn in many consecutive draws. A long absent streak means a number went missing for many draws in a row.
Longest Appearing Streaks
Longest Absent Streaks
Currently Overdue Numbers
Numbers not drawn for the longest time
Randomness Analysis
Statistical tests measuring how random the Powerball draws truly are
Chi-Square Statistic
2241.38
Significant deviation from uniform — some numbers drawn more often
Shannon Entropy
6.011
Max possible: 6.109
Entropy Ratio
98.4%
100% = perfectly uniform
Odd/Even Distribution
On average, each draw contains 3.03 odd and 2.97 even numbers.
3O/3E
1010 draws
4O/2E
804 draws
2O/4E
728 draws
5O/1E
293 draws
1O/5E
280 draws
6O/0E
42 draws
0O/6E
39 draws
Gap Analysis (Top Numbers)
The average number of draws between appearances for the most frequently drawn numbers. Lower gaps mean the number appears more regularly.
| Number | Avg Gap | Min Gap | Max Gap | Std Dev |
|---|---|---|---|---|
| 20 | 8.19 draws | 1 | 41 | 7.37 |
| 23 | 8.4 draws | 1 | 65 | 8.77 |
| 14 | 8.56 draws | 1 | 42 | 7.76 |
| 2 | 8.66 draws | 1 | 57 | 8.33 |
| 19 | 8.68 draws | 1 | 57 | 8.05 |
| 6 | 8.77 draws | 1 | 48 | 8.24 |
| 5 | 8.81 draws | 1 | 53 | 8.32 |
| 21 | 8.75 draws | 1 | 52 | 8.46 |
| 24 | 8.86 draws | 1 | 40 | 7.87 |
| 16 | 8.91 draws | 1 | 88 | 8.78 |
Sum Distribution
The sum of all numbers in each draw. A bell-shaped curve confirms random draws tend toward a predictable total range.
Understanding Powerball Number Statistics
Analyzing Powerball historical draw data provides fascinating insights into how lottery numbers behave over time. While every draw is an independent random event, statistical analysis helps players make informed decisions about their number selections.
What Is Number Frequency Analysis?
Number frequency analysis counts how many times each number has appeared across all 3,196 Powerball draws. Some numbers naturally appear more often due to random variation — this doesn't mean they're "luckier," but it does reveal the statistical distribution of past results.
What Are Hot and Cold Numbers?
Hot numbers are those appearing more frequently in recent draws (last 20) compared to their overall average. Cold numbers are the opposite — they've been drawn less often recently. Some players prefer to "ride the hot streak," while others bet on cold numbers being "due" for a return.
How Do Streaks Work in Lottery?
A streak occurs when a number appears (or doesn't appear) in consecutive draws. Long appearing streaks are rare and noteworthy. Overdue numbers — those absent for many consecutive draws — are tracked by players who follow the "gambler's fallacy" that they're more likely to appear soon. Remember: each draw is independent, and past results don't influence future outcomes.
How Random Is Powerball?
We measure randomness using the Chi-Square test (comparing observed vs. expected uniform distribution) and Shannon Entropy (measuring information content). An entropy ratio close to 100% indicates nearly perfect randomness. The sum distribution chart shows whether draw totals follow the expected bell curve pattern.
Disclaimer: Lottery draws are random events. Statistical analysis is provided for educational and entertainment purposes only. Past patterns do not predict future results. Please play responsibly.