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
An ascending digit run is a local segment of at least three positions whose digits rise by exactly one. The rest of the decimal number can follow any arrangement. This category intentionally excludes numbers whose entire representation is already a consecutive ascending sequence; those receive the complete-sequence badge instead. The test finds two consecutive +1 differences, which is equivalent to a three-digit ascending segment, and longer segments qualify as well. There is no wrap at 9 and no leading-zero padding. This distinction lets the atlas separate a fully ordered number from a brief ordered fragment. A candidate can contain several matching fragments, but the pattern contributes one matched signal rather than one award per occurrence.
The exact count, 28,826, 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 2.882597% 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(28,826 / 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 12,321, with a rarity score of 831 and Top 0.015%. 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 12,321, with a rarity score of 831 and Top 0.015%. 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 consecutive ascending digit runs are there between 0 and 1,000,000?
There are exactly 28,826 matches for consecutive ascending digit runs among the 1,000,001 integers from 0 to 1,000,000, inclusive: 2.882597% of the range. A segment of at least three digits climbs by one; the full number is not a sequence.
Why does 123 not receive the partial ascending-run badge?
123 is a complete ascending sequence. This partial-run category excludes complete sequences; a number such as 9123 contains a qualifying local run instead.
What is the highest-scoring consecutive ascending digit runs representative?
The highest-scoring representative is 12,321, with a rarity score of 831 and Top 0.015%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.