Numbers /4,096
How rare is 4,096?
4,096 scores 779 and sits in the Singular tier — 1 in 3,953 of all supported numbers score this high or higher. Everything below is computed from a complete analysis of all 1,000,001 numbers in range.
RNGdle.net’s own rarity score. Top 0.03% means that proportion of supported numbers scores at least this high. Every exact number has the same chance of being rolled. Same-length rank keeps the score and compares only numbers with 4 digits, including ties. How this differs from EP · Badge guide
These notes make the number easy to read, but they add no score unless a separately counted rarity signal appears below.
2 raised to an integer power.
Factorization · signal frequency
One of 9,000 four-digit numbers in range.
Range · signal frequency
This number's digits add up to an uncommon total.
Arithmetic · signal frequency
An integer cubed.
Factorization · signal frequency
Every comparison strictly alternates between rising and falling.
Sequence · signal frequency
This number uses an uncommon count of distinct digits.
Repetition · signal frequency
An integer squared.
Factorization · signal frequency
Iterating the sum of squared digits reaches 1.
Arithmetic · signal frequency
Strongest signal: Power of two. It appears in 20 supported numbers and contributes +312 after correlation decay.
Why is 4,096 unusual? Only 0.03% of the 1,000,001 supported numbers receive an equal or higher rarity score. This number falls in the Singular tier. Scoring is grounded in the exact frequency of each detected trait — rarer traits carry more information and contribute more to the score.
Algorithm version 1.1.0
One digit away
One digit, +180 points.
Your number
4,096
Singular · Top 0.03%
Position 4: 6 → 5 · +180 points.
Gained: All ones in binary, Triangular number, Digit sum 18, Hex repdigit, Binary palindrome.
35 legal neighbours · same digit length · no leading zeros. This describes an alternative number, not the odds of your next roll.
Explore & share this near miss →Similar interesting numbers
Explore a shared pattern, a comparable score, or a mathematical relationship. Every link explains its connection to 4,096.
Shared patterns
Same length, nearby scores
Patterns in this number
Each of these has its own page explaining how common the pattern is and why.
Zigzag Digit Numbers
Every comparison changes direction: up, down, up, down — or the reverse. In 792619 the path is 7 < 9 > 2 < 6 > 1 < 9.
Happy Numbers
Square each digit, add them up, repeat. If you eventually reach 1 the number is happy; if not, you fall into a cycle. 19 → 82 → 68 → 100 → 1.
Perfect Squares
A perfect square is some whole number times itself: 144 = 12², 10000 = 100². The range ends neatly on 1,000,000 = 1000².
Perfect Cubes
A perfect cube is a whole number raised to the third power: 216 = 6³, 970299 = 99³. There are only about a hundred in the entire range.
Powers of Two
Each power of two is double the last: 1, 2, 4, 8, 16, and on up through 1024, 65536 and 524288. Doubling exhausts the range in only twenty steps.