Math Tables & Reference Lab · Sequences & Patterns

Polygonal Numbers Table

Triangular, square, pentagonal, hexagonal, heptagonal and octagonal numbers side by side.

n	Triangular	Square	Pentagonal	Hexagonal	Heptagonal	Octagonal
1	1	1	1	1	1	1
2	3	4	5	6	7	8
3	6	9	12	15	18	21
4	10	16	22	28	34	40
5	15	25	35	45	55	65
6	21	36	51	66	81	96
7	28	49	70	91	112	133
8	36	64	92	120	148	176
9	45	81	117	153	189	225
10	55	100	145	190	235	280
11	66	121	176	231	286	341
12	78	144	210	276	342	408
13	91	169	247	325	403	481
14	105	196	287	378	469	560
15	120	225	330	435	540	645
16	136	256	376	496	616	736
17	153	289	425	561	697	833
18	171	324	477	630	783	936
19	190	361	532	703	874	1,045
20	210	400	590	780	970	1,160
21	231	441	651	861	1,071	1,281
22	253	484	715	946	1,177	1,408
23	276	529	782	1,035	1,288	1,541
24	300	576	852	1,128	1,404	1,680
25	325	625	925	1,225	1,525	1,825
26	351	676	1,001	1,326	1,651	1,976
27	378	729	1,080	1,431	1,782	2,133
28	406	784	1,162	1,540	1,918	2,296
29	435	841	1,247	1,653	2,059	2,465
30	465	900	1,335	1,770	2,205	2,640

How to use this table

Triangular, square, pentagonal, hexagonal, heptagonal and octagonal numbers side by side. Use it as a reference, for practice, or to check your own work. On large tables, scroll horizontally on a phone. Tap cells to visually track a row or value.