The Rarest Numbers Between 0 and 1,000,000

Published: 2026-09-26 10:32 UTC · Updated: 2026-09-26 10:32 UTC
Computed with engine art-1.0.0. Data updated: 2026-09-26 (UTC). Rules independently implemented by RNGDLE.ART.

The 100 rarest numbers

The table selects the highest-scoring 100 of all 1,000,001 integers, ordered by descending score and then ascending integer for equal scores. Top % includes every tied score in the full range, so adjacent display positions do not necessarily represent different rarity levels.

Position	Number	Rarity score	Top %	Matches	Atlas
1	3	1,677	0.0001%	6	Harshad number · Prime number · Fibonacci number · Triangular number · Binary palindrome · Mersenne number (binary repunit)
2	1	1,504	0.0002%	8	Harshad number · Happy number · Perfect square · Perfect cube · Power of two · Fibonacci number · Triangular number · Factorial
3	0	1,450	0.0003%	4	Perfect square · Perfect cube · Fibonacci number · Triangular number
4	2	1,444	0.0004%	5	Harshad number · Prime number · Power of two · Fibonacci number · Factorial
5	5	1,384	0.0005%	4	Harshad number · Prime number · Fibonacci number · Binary palindrome
6	55	1,377	0.0006%	5	Repdigit number · Palindrome number · Semiprime · Fibonacci number · Triangular number
7	7	1,305	0.0007%	5	Harshad number · Happy number · Prime number · Binary palindrome · Mersenne number (binary repunit)
8	8	1,288	0.0008%	4	Harshad number · Perfect cube · Power of two · Fibonacci number
9	4	1,287	0.0009%	4	Harshad number · Semiprime · Perfect square · Power of two
10	21	1,283	0.001%	5	Harshad number · Semiprime · Fibonacci number · Triangular number · Binary palindrome
11	33	1,282	0.0011%	4	Repdigit number · Palindrome number · Semiprime · Binary palindrome
12	6	1,269	0.0012%	4	Harshad number · Semiprime · Triangular number · Factorial
13	15	1,229	0.0013%	4	Semiprime · Triangular number · Binary palindrome · Mersenne number (binary repunit)
14	34	1,227	0.0014%	3	Semiprime · Fibonacci number · Hexadecimal repdigit
15	3,003	1,225	0.0015%	5	Multiple digit pairs · Exactly two distinct digits · Palindrome number · Triangular number · Hexadecimal repdigit
16	11	1,220	0.0016%	3	Repdigit number · Palindrome number · Prime number
17	9	1,213	0.0017%	4	Harshad number · Semiprime · Perfect square · Binary palindrome
18	66	1,173	0.0018%	3	Repdigit number · Palindrome number · Triangular number
19	31	1,154	0.0019%	4	Happy number · Prime number · Binary palindrome · Mersenne number (binary repunit)
20	22	1,140	0.002%	3	Repdigit number · Palindrome number · Semiprime
21	99	1,121	0.0022%	3	Repdigit number · Palindrome number · Binary palindrome
22	111	1,121	0.0022%	4	Repdigit number · Palindrome number · Harshad number · Semiprime
23	666	1,088	0.0023%	4	Repdigit number · Palindrome number · Harshad number · Triangular number
24	210	1,076	0.0024%	3	Consecutive descending digits · Harshad number · Triangular number
25	27	1,072	0.0025%	3	Harshad number · Perfect cube · Binary palindrome
26	44	1,048	0.0026%	3	Repdigit number · Palindrome number · Happy number
27	51	1,034	0.0027%	3	Semiprime · Binary palindrome · Hexadecimal repdigit
28	17	1,033	0.0028%	3	Prime number · Binary palindrome · Hexadecimal repdigit
29	13	1,029	0.0029%	3	Happy number · Prime number · Fibonacci number
30	64	1,027	0.003%	3	Perfect square · Perfect cube · Power of two
31	313	1,023	0.0031%	5	Exactly one digit pair · Palindrome number · Happy number · Prime number · Binary palindrome
32	121	1,019	0.0032%	4	Exactly one digit pair · Palindrome number · Semiprime · Perfect square
33	511	1,018	0.0033%	5	Exactly one digit pair · Harshad number · Semiprime · Binary palindrome · Mersenne number (binary repunit)
34	5,050	1,017	0.0034%	7	Multiple digit pairs · Exactly two distinct digits · ABAB pattern · Alternating parity · Zigzag digits · Harshad number · Triangular number
35	222	1,015	0.0036%	3	Repdigit number · Palindrome number · Harshad number
36	1,000,000	1,015	0.0036%	7	At least five repeated digits · Consecutive repeated digits · Exactly two distinct digits · Harshad number · Happy number · Perfect square · Perfect cube
37	16	1,012	0.0039%	2	Perfect square · Power of two
38	77	1,012	0.0039%	3	Repdigit number · Palindrome number · Semiprime
39	153	1,012	0.0039%	4	Harshad number · Triangular number · Binary palindrome · Hexadecimal repdigit
40	69,696	1,011	0.004%	8	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits · Harshad number · Perfect square
41	1,111	1,007	0.0041%	3	Repdigit number · Palindrome number · Semiprime
42	1,000	1,006	0.0042%	6	Exactly three repeated digits · Consecutive repeated digits · Exactly two distinct digits · Harshad number · Happy number · Perfect cube
43	24	1,005	0.0044%	2	Harshad number · Factorial
44	63	1,005	0.0044%	3	Harshad number · Binary palindrome · Mersenne number (binary repunit)
45	10	1,004	0.0045%	4	Harshad number · Happy number · Semiprime · Triangular number
46	45	996	0.0046%	3	Harshad number · Triangular number · Binary palindrome
47	32	995	0.0047%	2	Happy number · Power of two
48	1,331	991	0.0049%	4	Multiple digit pairs · Exactly two distinct digits · Palindrome number · Perfect cube
49	828,828	991	0.0049%	7	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern · Harshad number · Triangular number · At least 100 positive divisors
50	10,101	988	0.005%	7	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits · Harshad number
51	120	983	0.0051%	3	Harshad number · Triangular number · Factorial
52	343	978	0.0052%	3	Exactly one digit pair · Palindrome number · Perfect cube
53	333	973	0.0053%	3	Repdigit number · Palindrome number · Harshad number
54	1,010	971	0.0054%	6	Multiple digit pairs · Exactly two distinct digits · ABAB pattern · Alternating parity · Zigzag digits · Harshad number
55	987	967	0.0055%	2	Consecutive descending digits · Fibonacci number
56	999,999	966	0.0056%	2	Repdigit number · Palindrome number
57	4,095	959	0.0057%	5	Zigzag digits · Triangular number · Binary palindrome · Mersenne number (binary repunit) · Hexadecimal repdigit
58	888,888	958	0.0058%	3	Repdigit number · Palindrome number · At least 100 positive divisors
59	696,696	954	0.0059%	6	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern · Harshad number · At least 100 positive divisors
60	88	953	0.0061%	2	Repdigit number · Palindrome number
61	255	953	0.0061%	4	Exactly one digit pair · Binary palindrome · Mersenne number (binary repunit) · Hexadecimal repdigit
62	85	951	0.0063%	3	Semiprime · Binary palindrome · Hexadecimal repdigit
63	5,151	951	0.0063%	5	Multiple digit pairs · Exactly two distinct digits · ABAB pattern · Zigzag digits · Triangular number
64	73,737	947	0.0064%	7	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Zigzag digits · Harshad number · Binary palindrome
65	444	941	0.0065%	3	Repdigit number · Palindrome number · Harshad number
66	100	939	0.0067%	4	Exactly one digit pair · Harshad number · Happy number · Perfect square
67	144	939	0.0067%	4	Exactly one digit pair · Harshad number · Perfect square · Fibonacci number
68	171	937	0.0068%	4	Exactly one digit pair · Palindrome number · Harshad number · Triangular number
69	221	931	0.0069%	3	Exactly one digit pair · Semiprime · Hexadecimal repdigit
70	101	929	0.007%	3	Exactly one digit pair · Palindrome number · Prime number
71	989,989	924	0.0071%	4	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern
72	555	917	0.0072%	3	Repdigit number · Palindrome number · Harshad number
73	136	914	0.0073%	2	Triangular number · Hexadecimal repdigit
74	252,252	912	0.0074%	6	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern · Harshad number · At least 100 positive divisors
75	119	911	0.0075%	4	Exactly one digit pair · Semiprime · Binary palindrome · Hexadecimal repdigit
76	20,202	905	0.0076%	6	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Zigzag digits · Harshad number
77	585,585	898	0.0077%	5	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern · Binary palindrome
78	2,020	897	0.0079%	5	Multiple digit pairs · Exactly two distinct digits · ABAB pattern · Zigzag digits · Harshad number
79	4,321	897	0.0079%	4	Consecutive descending digits · Alternating parity · Semiprime · Binary palindrome
80	512	896	0.008%	3	Harshad number · Perfect cube · Power of two
81	127	895	0.0082%	3	Prime number · Binary palindrome · Mersenne number (binary repunit)
82	2,222	895	0.0082%	2	Repdigit number · Palindrome number
83	32,323	894	0.0083%	7	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits · Prime number
84	36	893	0.0084%	3	Harshad number · Perfect square · Triangular number
85	717	892	0.0085%	4	Exactly one digit pair · Palindrome number · Semiprime · Binary palindrome
86	1,212	890	0.0086%	7	Multiple digit pairs · Exactly two distinct digits · ABAB pattern · Alternating parity · Zigzag digits · Harshad number · Happy number
87	888	888	0.0088%	4	Repdigit number · Palindrome number · Harshad number · Happy number
88	12,121	888	0.0088%	6	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits
89	777	887	0.0089%	3	Repdigit number · Palindrome number · Harshad number
90	30,303	885	0.009%	7	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits · Harshad number
91	233	884	0.0093%	3	Exactly one digit pair · Prime number · Fibonacci number
92	14,141	884	0.0093%	7	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits · Semiprime
93	98,989	884	0.0093%	7	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits · Semiprime
94	3,030	882	0.0094%	6	Multiple digit pairs · Exactly two distinct digits · ABAB pattern · Alternating parity · Zigzag digits · Harshad number
95	2,121	878	0.0095%	6	Multiple digit pairs · Exactly two distinct digits · ABAB pattern · Alternating parity · Zigzag digits · Happy number
96	999	877	0.0096%	3	Repdigit number · Palindrome number · Harshad number
97	21,212	874	0.0097%	6	Exactly three repeated digits · Exactly two distinct digits · Palindrome number · ABAB pattern · Alternating parity · Zigzag digits
98	101,101	872	0.01%	4	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern
99	898,898	872	0.01%	4	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern
100	979,979	872	0.01%	4	Exactly four repeated digits · Exactly two distinct digits · Palindrome number · ABCABC pattern

What makes a number rare?

Uncommon features contribute more information through −log₂(match probability), with related signals discounted within each family. A larger number is not automatically rarer, and matching more patterns does not guarantee a higher score.

How scoring works →

Highest-scoring representatives of all 31 patterns

Each row selects the highest complete score among all matching integers from 0 through 1,000,000. Tied leaders are displayed using the smaller integer. These categories overlap, so the same number can lead several patterns.

Pattern	Number	Rarity score	Top %
Repdigit number	55	1,377	0.0006%
At least five repeated digits	1,000,000	1,015	0.0036%
Exactly four repeated digits	828,828	991	0.0049%
Exactly three repeated digits	69,696	1,011	0.004%
Multiple digit pairs	3,003	1,225	0.0015%
Exactly one digit pair	313	1,023	0.0031%
Consecutive repeated digits	1,000,000	1,015	0.0036%
Exactly two distinct digits	3,003	1,225	0.0015%
Palindrome number	55	1,377	0.0006%
Consecutive ascending digits	123	852	0.0119%
Consecutive descending digits	210	1,076	0.0024%
Ascending segment	12,321	831	0.015%
Descending segment	12,321	831	0.015%
ABAB pattern	5,050	1,017	0.0034%
ABCABC pattern	828,828	991	0.0049%
Alternating parity	5,050	1,017	0.0034%
Zigzag digits	5,050	1,017	0.0034%
Harshad number	3	1,677	0.0001%
Happy number	1	1,504	0.0002%
Prime number	3	1,677	0.0001%
Semiprime	55	1,377	0.0006%
Perfect square	1	1,504	0.0002%
Perfect cube	1	1,504	0.0002%
Power of two	1	1,504	0.0002%
Fibonacci number	3	1,677	0.0001%
Triangular number	3	1,677	0.0001%
Factorial	1	1,504	0.0002%
At least 100 positive divisors	828,828	991	0.0049%
Binary palindrome	3	1,677	0.0001%
Mersenne number (binary repunit)	3	1,677	0.0001%
Hexadecimal repdigit	34	1,227	0.0014%

Why are short numbers often ranked as rare?

Short numbers are scarce within 0–1,000,000, and lengths of one to four digits supply an additional signal. This ranking includes 0 and single-digit values. The existing highest and lowest leaderboards begin at 1,000, so their leaders may differ.

View the existing leaderboard starting at 1,000 →

Frequently asked questions

What is the rarest number between 0 and 1,000,000?

The top-ranked number in RNGDLE.ART's complete 0–1,000,000 range is 3, with a rarity score of 1,677 and Top 0.0001%. It matches 6 of the 31 patterns, including Harshad number, Prime number, Fibonacci number, Triangular number, Binary palindrome, Mersenne number (binary repunit). This ranking measures feature rarity under this site's engine.

What is the rarest number in RNGDLE?

Under RNGDLE.ART's independently implemented engine, the current full-range leader is 3, scoring 1,677. This does not establish the ranking for rngdle.com or any other similarly named game; we do not claim to share their official engine.

Is 1 the rarest number?

In this engine, 1 scores 1,504 with Top 0.0002% and appears at position 2 in this table. The current first-listed number is 3. This conclusion is specific to this range and scoring system.

How is number rarity calculated?

Exact frequencies across 1,000,001 integers supply −log₂ information. Signals are weighted within their families, summed, multiplied by 20 and rounded once. Top % counts all integers scoring at least as high, including ties.