Computed with engine art-1.0.0. Data updated: 2026-09-26 (UTC). Rules independently implemented by RNGDLE.ART.
Sequences
Rule, exact count and rarity
A repeated three-digit block has exactly six decimal digits, with its first three positions identical to its last three. Algebraically, repeating a block B produces 1000B + B = 1001B. The block must start with a nonzero digit because the full number is written without leading zeros. It must use at least two distinct digits across the number, excluding full repdigits such as 111111. The letters A, B and C are placeholders for positions, not a requirement that all three symbols differ; a block such as 121 may repeat. This fixed block structure imposes useful divisibility relationships, but the score still evaluates every eligible pattern and applies the normal discounts for overlapping signals.
The exact count, 891, 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 0.0891% 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(891 / 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 repeated three-digit blocks are there between 0 and 1,000,000?
There are exactly 891 matches for repeated three-digit blocks among the 1,000,001 integers from 0 to 1,000,000, inclusive: 0.0891% of the range. A three-digit block repeats twice, using at least two distinct digits.
Must all three digits in an ABCABC block be different?
No. At least two distinct digits are required across the six-digit number. For example, 121121 qualifies, while 111111 is excluded as a repdigit.
What is the highest-scoring repeated three-digit blocks 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.