Digits Repeated at Least Five Times

Rule, exact count and rarity

This category counts a decimal digit that appears at least five times while allowing other digits in the number. The matching positions need not be consecutive: frequency, rather than placement, is the deciding feature. A full repdigit is excluded because it has its own category. The rule says at least five, so a digit appearing six times can also qualify when another digit is present. In this bounded range the seven-digit upper endpoint is an instructive example: its zeros are counted just like any other digit. This is a descriptive digit-frequency category inspired by repeated symbols, not a standard number-theory sequence or a poker hand definition.

The exact count, 487, 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 0.0487% 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(487 / 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 1,000,000, with a rarity score of 1,015 and Top 0.0036%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.

Example numbers

The highest-scoring match

The highest-scoring representative is 1,000,000, with a rarity score of 1,015 and Top 0.0036%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.