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 consecutive descending number uses at least three decimal digits with every adjacent difference equal to minus one. The condition is stricter than merely placing digits in decreasing order: 975 skips values and fails, whereas 987 qualifies. Every position must follow the rule, and the sequence may end at zero. There is no wrap from zero to nine. Since the whole decimal representation is examined without padding, the starting digit and length jointly determine the candidate. Strictly descending digits cannot repeat, but number-theory features such as divisibility or primality may still add separate signals. A number containing a descending fragment with unrelated digits elsewhere belongs to the partial-run category instead of this complete-sequence category.
The exact count, 26, 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 0.0026% 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(26 / 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 210, with a rarity score of 1,076 and Top 0.0024%. 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 210, with a rarity score of 1,076 and Top 0.0024%. 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 descending digit numbers are there between 0 and 1,000,000?
There are exactly 26 matches for consecutive descending digit numbers among the 1,000,001 integers from 0 to 1,000,000, inclusive: 0.0026% of the range. At least three digits; each falls by exactly one.
Can a descending sequence end in zero?
Yes. For example, 3210 decreases by one at every position and qualifies. Zero is allowed at the end, but it does not wrap to nine.
What is the highest-scoring consecutive descending digit numbers representative?
The highest-scoring representative is 210, with a rarity score of 1,076 and Top 0.0024%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.