Numbers /4,005

How rare is 4,005?

4,005 scores 609 and sits in the Singular tier — 1 in 1,032 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
4,005
Singular
Rarity Score
609
Global Percentile
Top 0.10%
Same-length rank
Top 3.23%
Among 9,000 4-digit numbers
Traits Detected
6

RNGdle.net’s own rarity score. Top 0.10% 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

Number DNA
4005
Lab Observations · Descriptive Only
4 digitsOdd number2 zerosFirst < last0 × 24, 5 appear once

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

Digit Profile
Length4 digits
Unique digits3
Digit sum9
Odd / even split1 / 3
Digital root9
Mathematical Properties
Composite number
12 divisors
Not a perfect square
Not a perfect cube
Not a palindrome
Rarity Drivers
6 traits detected
Triangular numberExtreme

A sum 1 + 2 + … + k for some k.

Factorization · signal frequency

+189
1 in 707
Digit sum 9Extreme

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

Arithmetic · signal frequency

+179
1 in 500
Four-digit numberExtreme

One of 9,000 four-digit numbers in range.

Range · signal frequency

+136
1 in 111
3 distinct digitsRare

This number uses an uncommon count of distinct digits.

Repetition · signal frequency

+73
7.91%
Harshad numberRare

Divisible by the sum of its digits.

Arithmetic · signal frequency

+24
9.54%
Repeated digitNotable

Exactly one digit appears twice.

Repetition · signal frequency

+8
45.77%
Rarity Explanation

Strongest signal: Triangular number. It appears in 1,414 supported numbers and contributes +189 after correlation decay.

Why is 4,005 unusual? Only 0.10% 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, +350 points.

Your number

4,005

Singular · Top 0.10%

Best one-digit neighbour

4,095

Singular · Top <0.01%

Position 3: 0 → 9 · +350 points.

Gained: All ones in binary, Digit sum 18, Hex repdigit, Zigzag digits, 4 distinct digits, Binary palindrome.

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

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Explore a shared pattern, a comparable score, or a mathematical relationship. Every link explains its connection to 4,005.

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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