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
The fourfold repetition category asks how often the most frequent decimal digit occurs. Its maximum frequency must be exactly four, and at least one other digit must be present. The four matching positions may be separated, so a visual block is not required. A number with five copies of a digit fails this exact-four rule even though it contains a subset of four matching positions. A four-digit repdigit also fails because all of its digits are identical. Counting maximum frequency keeps the fourfold and five-or-more categories distinct. These labels describe the implementation's decimal patterns and should not be mistaken for an established mathematical class with a universal convention.
The exact count, 11,340, 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 1.133999% 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(11,340 / 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 828,828, with a rarity score of 991 and Top 0.0049%. 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 828,828, with a rarity score of 991 and Top 0.0049%. 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 four times are there between 0 and 1,000,000?
There are exactly 11,340 matches for digits repeated exactly four times among the 1,000,001 integers from 0 to 1,000,000, inclusive: 1.133999% of the range. The most frequent digit appears exactly four times; not all digits are identical.
Why does 1111 not match the exact-four category?
1111 is a full repdigit. The exact-four rule also requires another distinct digit, so 11112 qualifies while 1111 does not.
What is the highest-scoring digits repeated exactly four times representative?
The highest-scoring representative is 828,828, with a rarity score of 991 and Top 0.0049%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.