Computed with engine art-1.0.0. Data updated: 2026-09-26 (UTC). Rules independently implemented by RNGDLE.ART.
Repetition
Rule, exact count and rarity
Triple repetition means that the highest frequency of any decimal digit is exactly three. The number must use more than one distinct digit, which excludes three-digit repdigits. Matching digits may occur anywhere and do not have to form a run. A number can contain two different triples and still qualify, because neither frequency exceeds three. Conversely, a digit that occurs four times takes the number outside this category. The rule is therefore about the maximum of the digit-frequency table, not the mere existence of three equal positions. It can overlap with a palindrome or a repeated block, but those additional structures are tested separately and do not change this membership rule.
The exact count, 138,024, comes from evaluating all 1,000,001 integers from 0 through 1,000,000, including both endpoints. It is not a sample or an estimate. Each matching integer is counted once for this category, even if it contains multiple qualifying segments. Its frequency of 13.802386% describes the chance that a uniformly chosen integer passes this one test. It is not the global score percentile of every member, and overlapping pattern counts must not be added as if they represented disjoint sets.
The pattern supplies −log₂(138,024 / 1,000,001) bits before its within-family weight is applied. Other matched patterns, digit sum, distinct-digit count and short-length signals can change the complete score. Consequently, members of this category need not share a ranking. The highest-scoring representative is 69,696, with a rarity score of 1,011 and Top 0.004%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.
Example numbers
ExploreThe highest-scoring match
The highest-scoring representative is 69,696, with a rarity score of 1,011 and Top 0.004%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.
Frequently asked questions
How many digits repeated exactly three times are there between 0 and 1,000,000?
There are exactly 138,024 matches for digits repeated exactly three times among the 1,000,001 integers from 0 to 1,000,000, inclusive: 13.802386% of the range. The most frequent digit appears exactly three times; not all digits are identical.
Can a number with two triples match this pattern?
Yes. For example, 111222 has a maximum digit frequency of three and more than one distinct digit, so it matches.
What is the highest-scoring digits repeated exactly three times representative?
The highest-scoring representative is 69,696, with a rarity score of 1,011 and Top 0.004%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.