Triangular Number Reference Values
Calculate the nth triangular number using T(n) = n(n + 1) / 2.
Table of Contents
Reference Value Index
This page lists 23 reference values for quick browsing and lookup.
All Reference Values
- 0 Integer n = 0 Triangular Number
- 1 Integer n = 1 Triangular Number
- 2 Integer n = 3 Triangular Number
- 3 Integer n = 6 Triangular Number
- 4 Integer n = 10 Triangular Number
- 5 Integer n = 15 Triangular Number
- 6 Integer n = 21 Triangular Number
- 7 Integer n = 28 Triangular Number
- 8 Integer n = 36 Triangular Number
- 9 Integer n = 45 Triangular Number
- 10 Integer n = 55 Triangular Number
- 12 Integer n = 78 Triangular Number
- 15 Integer n = 120 Triangular Number
- 20 Integer n = 210 Triangular Number
- 25 Integer n = 325 Triangular Number
- 50 Integer n = 1,275 Triangular Number
- 75 Integer n = 2,850 Triangular Number
- 100 Integer n = 5,050 Triangular Number
- 250 Integer n = 31,375 Triangular Number
- 500 Integer n = 125,250 Triangular Number
- 1,000 Integer n = 500,500 Triangular Number
- 5,000 Integer n = 12,502,500 Triangular Number
- 10,000 Integer n = 50,005,000 Triangular Number
Reference Table
| n | T(n) |
|---|---|
| 0 Integer n | 0 Triangular Number |
| 1 Integer n | 1 Triangular Number |
| 2 Integer n | 3 Triangular Number |
| 3 Integer n | 6 Triangular Number |
| 4 Integer n | 10 Triangular Number |
| 5 Integer n | 15 Triangular Number |
| 6 Integer n | 21 Triangular Number |
| 7 Integer n | 28 Triangular Number |
| 8 Integer n | 36 Triangular Number |
| 9 Integer n | 45 Triangular Number |
| 10 Integer n | 55 Triangular Number |
| 12 Integer n | 78 Triangular Number |
| 15 Integer n | 120 Triangular Number |
| 20 Integer n | 210 Triangular Number |
| 25 Integer n | 325 Triangular Number |
| 50 Integer n | 1,275 Triangular Number |
| 75 Integer n | 2,850 Triangular Number |
| 100 Integer n | 5,050 Triangular Number |
| 250 Integer n | 31,375 Triangular Number |
| 500 Integer n | 125,250 Triangular Number |
| 1,000 Integer n | 500,500 Triangular Number |
| 5,000 Integer n | 12,502,500 Triangular Number |
| 10,000 Integer n | 50,005,000 Triangular Number |
Frequently Asked Questions
Frequently asked questions for Triangular Number and its reference values.
What does the Triangular Number calculator do?
It helps with counting pair combinations, stacked objects, and arithmetic series totals from 1 to n.
What formula does the Triangular Number calculator use?
Triangular number T(n) = n(n + 1) / 2.
What inputs are valid?
n must be a non-negative integer. The calculator caps n to preserve exact safe integer output formatting.
When would I use this?
counting pair combinations, stacked objects, and arithmetic series totals from 1 to n
Methodology and Review
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Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.