Patterns /Encodings

Hexadecimal Repdigits

In base sixteen every digit is the same: 255 is FF, 4095 is FFF, and 43690 is AAAA.

Matches in range
59
Share of all numbers
1 in 16,949
Out of
1,000,001

With only fifteen non-zero hex digits and five usable lengths in this range, the total count stays very small — as the figure above shows.

Hex repdigits are everywhere in software even when nobody calls them that: FF is a full colour channel, FFFF a sixteen-bit maximum, and AAAA and 5555 are the alternating bit patterns used to test memory.

Because this trait depends entirely on base-sixteen notation, it sits in the representation group and is scored separately from anything the decimal digits are doing.

Highest-scoring examples

The best-scoring numbers of four digits or more that carry this pattern. Shorter numbers are excluded here because their length alone dominates any score ranking.

3,003 Top <0.01% Singular 4,095 Top <0.01% Singular 1,911 Top 0.01% Singular 1,092 Top 0.04% Singular 4,369 Top 0.04% Singular 1,638 Top 0.05% Singular 3,276 Top 0.05% Singular 1,365 Top 0.07% Singular

Smallest examples

The first numbers in the range that match this pattern.

17 34 51 68 85 102 119 136

Related encodings patterns

Binary Palindromes

Written in base two, these numbers read the same forwards and backwards. 9 is 1001, and 585 is 1001001001.

Binary Repunits

These are the numbers one short of a power of two — 3, 7, 15, 31, 63, 1023 — whose binary form is nothing but ones.
Explore this pattern Analyze a number All patterns