A complete population

RNGdle mathematical stats

Every whole number from 0 to 1,000,000, scored with algorithm 1.1.0. These are mathematical counts across the supported range, not site traffic or player discoveries.

Numbers counted

1,000,001

Mean score

188.0

Score distribution

Each bar counts numbers in a 100-point score band. The right tail contains the highest pattern scores.

Score distribution of 1,000,001 numbers Most numbers have lower scores. Exact counts for every score band are available in the table below. 0–99: 0 numbers 0 100–199: 661,283 numbers 200–299: 286,290 numbers 300–399: 42,649 numbers 300 400–499: 7,059 numbers 500–599: 1,686 numbers 600–699: 513 numbers 600 700–799: 326 numbers 800–899: 119 numbers 900–999: 31 numbers 900 1000–1099: 23 numbers 1100–1199: 5 numbers 1200–1299: 10 numbers 1200 1300–1399: 3 numbers 1400–1499: 2 numbers 1500–1599: 1 numbers 1500 1600–1677: 1 numbers
Score on the horizontal axis; number of matches on the vertical axis. Bar heights use a linear scale.
Exact distribution counts
Score band Numbers Share
0–99 0 0
100–199 661,283 66.13%
200–299 286,290 28.63%
300–399 42,649 4.26%
400–499 7,059 1 in 142
500–599 1,686 1 in 593
600–699 513 1 in 1,949
700–799 326 1 in 3,067
800–899 119 1 in 8,403
900–999 31 1 in 32,258
1000–1099 23 1 in 43,478
1100–1199 5 1 in 200,000
1200–1299 10 1 in 100,000
1300–1399 3 1 in 333,334
1400–1499 2 1 in 500,000
1500–1599 1 1 in 1,000,001
1600–1677 1 1 in 1,000,001

How many numbers receive each tier?

Exclusive tier counts: each number appears once. Score ties can keep the exact shares below the nominal percentile cutoffs.

Singular

1,000

1 in 1,000

Extreme

8,971

1 in 111

Exceptional

39,741

3.97%

Rare

50,240

5.02%

Distinct

149,889

14.99%

Notable

250,142

25.01%

Standard

500,018

50.00%

Scores by digit length

The scoring formula is identical for every row. Same-length rankings change the comparison population, while short-number traits still contribute to the original score.

Digits Population Mean Lowest score Highest score
1 10 1382.7

1,213

9

1 tied

1,677

3

1 tied

2 90 793.8

535

98

1 tied

1,377

55

1 tied

3 900 525.5

362

798

3 tied

1,121

111

1 tied

4 9,000 383.3

250

4,598

47 tied

1,225

3,003

1 tied

5 90,000 194.0

108

12,698

1,361 tied

1,011

69,696

1 tied

6 900,000 185.1

115

103,779

9,819 tied

991

828,828

1 tied

7 1 1015.0

1,015

1,000,000

1 tied

1,015

1,000,000

1 tied

Four digits leaderboard Five digits leaderboard Six digits leaderboard

Which patterns are most common?

Probability of each named pattern in one uniform draw across the full range. Patterns overlap, so these counts are not added together.

Pattern Matching numbers Probability
Numbers With One Repeated Digit 457,731 45.77%
Double Pair Numbers 223,803 22.38%
Semiprime Numbers 210,035 21.00%
Happy Numbers 143,071 14.31%
Triple Digits 138,024 13.80%
Zigzag Digit Numbers 136,425 13.64%
Harshad Numbers 95,428 9.54%
Prime Numbers 78,498 7.85%
Adjacent Digit Runs 35,884 3.59%
Alternating Odd and Even Digits 34,875 3.49%
Descending Digit Runs 29,815 2.98%
Ascending Digit Runs 28,826 2.88%
Quadruple Digits 11,340 1.13%
Numbers Built From Two Digits 4,294 1 in 233
Highly Divisible Numbers 2,809 1 in 356
Binary Palindromes 1,998 1 in 501
Palindrome Numbers 1,989 1 in 503
Triangular Numbers 1,414 1 in 707
Perfect Squares 1,001 1 in 999
ABCABC Pattern Numbers 891 1 in 1,122
Five or More of One Digit 487 1 in 2,053
ABAB Pattern Numbers 243 1 in 4,115
Perfect Cubes 101 1 in 9,901
Hexadecimal Repdigits 59 1 in 16,949
Repeating Digit Numbers 45 1 in 22,222
Fibonacci Numbers 30 1 in 33,333
Descending Sequence Numbers 26 1 in 38,462
Ascending Sequence Numbers 22 1 in 45,455
Powers of Two 20 1 in 50,000
Binary Repunits 18 1 in 55,556
Factorial Numbers 9 1 in 111,111
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