This chart shows the Number Sum and Root Sum. The Number Sum is the sum of calculating the numbers in a combination of a draw result and reduce it to a single digit called "root sum". E.g., a combination of numbers 7, 8, 5, 3, 2, and 1 has a sum of 26. The root sum is 2+6 = 8. If the root sum is more than 1 digit, the root sum is computed again. Analyzing these values over time can sometimes reveal trends in sum totals that appear more frequently.
Number Sum Frequency
The graph below illustrates the trends of both the number sum and the root sum over a specified period of lottery draws. Each point on the chart represents the respective values for a single draw, allowing for a clear visual comparison of how these two metrics fluctuate over time. The number sum, typically representing the total of all drawn numbers, while the root sum—derived by reducing the number sum to a single-digit value. Together, these lines help highlight any emerging patterns, anomalies, or correlations between the overall sum of numbers and their root values throughout the analyzed period.
Most Common Number Sum
The table below displays the most frequently occurring number sums within the analyzed set of draws. It is organized into two columns: the first column lists the distinct number sums observed, while the second column shows the corresponding count of draws in which each sum appeared. This format makes it easy to identify which number sums occur most often, providing insight into potential patterns or biases in the draw outcomes. By examining this table, one can quickly determine which sums are statistically more common and may be worth monitoring in future draws.
| Number Sum | Draw Count | |
|---|---|---|
| 94 |
|
4 |
| 117 |
|
3 |
| 123 |
|
3 |
| 88 |
|
3 |
| 137 |
|
3 |
| 92 |
|
3 |
| 95 |
|
2 |
| 119 |
|
2 |
| 118 |
|
2 |
| 134 |
|
2 |
| 130 |
|
2 |
| 163 |
|
2 |
| 129 |
|
2 |
| 170 |
|
2 |
| 127 |
|
2 |
| 125 |
|
2 |
| 162 |
|
1 |
| 116 |
|
1 |
| 112 |
|
1 |
| 122 |
|
1 |
| 136 |
|
1 |
| 99 |
|
1 |
| 108 |
|
1 |
| 115 |
|
1 |
| 120 |
|
1 |
| 84 |
|
1 |
| 168 |
|
1 |
| 71 |
|
1 |
| 121 |
|
1 |
| 104 |
|
1 |
| 161 |
|
1 |
| 113 |
|
1 |
| 106 |
|
1 |
| 153 |
|
1 |
| 172 |
|
1 |
| 164 |
|
1 |
| 128 |
|
1 |
| 98 |
|
1 |
| 82 |
|
1 |
| 79 |
|
1 |
| 102 |
|
1 |
| 173 |
|
1 |
| 69 |
|
1 |
| 132 |
|
1 |
| 144 |
|
1 |
| 131 |
|
1 |
| 189 |
|
1 |
| 169 |
|
1 |
| 103 |
|
1 |
| 110 |
|
1 |
| 124 |
|
1 |
| 135 |
|
1 |
Most Common Root Sum Summary
The table and graph below presents the most common root sums observed across the analyzed draws. The table includes two columns: one for the root sum values—each derived by reducing the number sum to a single digit—and another indicating the number of draws in which each root sum occurred. This allows for easy identification of the most frequent root sums. While the pie chart visually represents the distribution of root sums, offering a clear and immediate view of how evenly or unevenly these values are spread across all draws.
| Root Sum | Draw Count | |
|---|---|---|
| 1 |
|
9 |
| 2 |
|
12 |
| 3 |
|
5 |
| 4 |
|
9 |
| 5 |
|
6 |
| 6 |
|
6 |
| 7 |
|
8 |
| 8 |
|
10 |
| 9 |
|
10 |
Format Changes in Australian Powerball
The Australian Powerball lottery has undergone several format changes since its launch in 1996, each significantly impacting how number frequency analysis should be conducted. Below is the timeline of the Australian Powerball format changes:
| Period | Format | Powerball |
|---|---|---|
| 1996-2013 | 5 numbers from a pool of 45 (1-45) | 1 number from the same pool of 45 |
| March 1, 2013 - April 12, 2018 | 6 numbers from a pool of 40 (1-40) | 1 number from a separate pool of 20 (1-20) |
| April 13, 2018 - Present | 7 numbers from a pool of 35 (1-35) | 1 number from a separate pool of 20 (1-20) |
From 1996 to 2013, the game followed a 5/45 format, where players selected five main numbers from 1 to 45 and one Powerball from the same pool. In March 2013, the format changed to 6/40 + Powerball 1–20, meaning players had to choose six main numbers from 1 to 40 and a Powerball from a separate pool of 20. This shift altered the odds and made previous number frequency data less relevant. Then, in April 2018, the format changed again to its current form: 7/35 + Powerball 1–20. This increased the difficulty of winning the jackpot but introduced more prize divisions and larger potential jackpots.
How Australian Powerball Format Changes Affect Your Number Strategy.
These format changes have a direct impact on statistical analysis. Mixing frequency data across different formats is not advisable because each version of the game has a different number pool and probability structure.
For example, a number that appeared frequently in the 5/45 format may have done so due to higher individual draw probability, but that same frequency can be misleading in the 6/40 or 7/35 formats. Furthermore, changes to the Powerball pool—from 1–45 to 1–20—also significantly affect how often specific Powerball numbers appear.
Therefore, for meaningful analysis, it’s essential to treat each format as its own distinct dataset. Analyzing trends or frequencies should be restricted to results from within the same format period, especially if the goal is to inform number selection in the current game structure.