Numbers /40,401

How rare is 40,401?

40,401 scores 548 and sits in the Extreme tier — 1 in 608 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.

Number
40,401
Extreme
Rarity Score
548
Global Percentile
Top 0.16%
Same-length rank
Top 0.27%
Among 90,000 5-digit numbers
Traits Detected
6

RNGdle.net’s own rarity score. Top 0.16% 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 5 digits, including ties. How this differs from EP · Badge guide

Number DNA
40401
Lab Observations · Descriptive Only
5 digitsOdd number2 zerosFirst > last0 × 2 · 4 × 2

These notes make the number easy to read, but they add no score unless a separately counted rarity signal appears below.

Digit Profile
Length5 digits
Unique digits3
Digit sum9
Odd / even split1 / 4
Digital root9
Mathematical Properties
Composite number
9 divisors
Perfect square
Not a perfect cube
Not a palindrome
Rarity Drivers
6 traits detected
Perfect squareExtreme

An integer squared.

Factorization · signal frequency

+199
1 in 999
Digit sum 9Extreme

This number's digits add up to an uncommon total.

Arithmetic · signal frequency

+179
1 in 500
3 distinct digitsRare

This number uses an uncommon count of distinct digits.

Repetition · signal frequency

+73
7.91%
Zigzag digitsDistinct

Every comparison strictly alternates between rising and falling.

Sequence · signal frequency

+57
13.64%
Harshad numberRare

Divisible by the sum of its digits.

Arithmetic · signal frequency

+24
9.54%
Double pairDistinct

Two different digits each appear twice.

Repetition · signal frequency

+15
22.38%
Rarity Explanation

Strongest signal: Perfect square. It appears in 1,001 supported numbers and contributes +199 after correlation decay.

Why is 40,401 unusual? Only 0.16% of the 1,000,001 supported numbers receive an equal or higher rarity score. This number falls in the Extreme 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 change could reach Singular.

Your number

40,401

Extreme · Top 0.16%

Best one-digit neighbour

40,404

Singular · Top 0.01%

Position 5: 1 → 4 · +283 points.

Gained: ABAB pattern, Palindrome, Only two distinct digits, Digit sum 12, 2 distinct digits, Triple digit.

44 legal neighbours · same digit length · no leading zeros. This describes an alternative number, not the odds of your next roll.

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Shared patterns

Same length, nearby scores

Mathematical relationships

Patterns in this number

Each of these has its own page explaining how common the pattern is and why.

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