Numbers /821,121

How rare is 821,121?

821,121 scores 406 and sits in the Extreme tier — 1 in 111 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
821,121
Extreme
Rarity Score
406
Global Percentile
Top 0.90%
Same-length rank
Top 0.44%
Among 900,000 6-digit numbers
Traits Detected
4

RNGdle.net’s own rarity score. Top 0.90% 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 6 digits, including ties. How this differs from EP · Badge guide

Number DNA
821121
Lab Observations · Descriptive Only
6 digitsOdd numberZero-freeFirst > last1 × 3 · 2 × 2

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

Digit Profile
Length6 digits
Unique digits3
Digit sum15
Odd / even split3 / 3
Digital root6
Mathematical Properties
Composite number
16 divisors
Not a perfect square
Not a perfect cube
Not a palindrome
Rarity Drivers
4 traits detected
Triangular numberExtreme

A sum 1 + 2 + … + k for some k.

Factorization · signal frequency

+189
1 in 707
Digit sum 15Exceptional

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

Arithmetic · signal frequency

+123
1.40%
3 distinct digitsRare

This number uses an uncommon count of distinct digits.

Repetition · signal frequency

+73
7.91%
Triple digitDistinct

A single digit appears exactly three times.

Repetition · signal frequency

+20
13.80%
Rarity Explanation

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

Why is 821,121 unusual? Only 0.90% 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

821,121

Extreme · Top 0.90%

Best one-digit neighbour

121,121

Singular · Top 0.02%

Position 1: 8 → 1 · +399 points.

Gained: ABCABC pattern, Digit sum 8, Palindrome, Only two distinct digits, 2 distinct digits, Quadruple digit.

53 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

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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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