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Hexadecimal Repdigit Numbers

There are exactly 59 matches for hexadecimal repdigit numbers among the 1,000,001 integers from 0 to 1,000,000, inclusive: 0.0059% of the range. At least two identical digits in hexadecimal notation.

Computed with engine art-1.0.0. Data updated: 2026-09-26 (UTC). Rules independently implemented by RNGDLE.ART.

matches59
Frequency0.0059%

Encodings

Rule, exact count and rarity

A hexadecimal repdigit uses at least two identical symbols in its base-sixteen representation. The possible nonzero symbols include 1 through 9 and A through F; letters stand for digit values ten through fifteen. The leading symbol cannot be zero because representations are not padded. Repeating a hexadecimal digit d for k places gives d × (16ᵏ − 1) / 15. Decimal appearance can be completely different: the integer 255 is FF in hexadecimal and qualifies. The test requires every hexadecimal position to match, not merely one repeated pair inside a longer mixed string. This base-specific property is evaluated separately from decimal repdigits, and a number may satisfy one without satisfying the other.

The exact count, 59, 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 0.0059% 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(59 / 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 34, with a rarity score of 1,227 and Top 0.0014%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.

Example numbers

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The highest-scoring match

The highest-scoring representative is 34, with a rarity score of 1,227 and Top 0.0014%. 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 hexadecimal repdigit numbers are there between 0 and 1,000,000?

There are exactly 59 matches for hexadecimal repdigit numbers among the 1,000,001 integers from 0 to 1,000,000, inclusive: 0.0059% of the range. At least two identical digits in hexadecimal notation.

Can letters such as A or F form a hexadecimal repdigit?

Yes. They are hexadecimal digits. For example, decimal 255 is hexadecimal FF and matches; the displayed decimal number need not be a repdigit.

What is the highest-scoring hexadecimal repdigit numbers representative?

The highest-scoring representative is 34, with a rarity score of 1,227 and Top 0.0014%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.

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