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Hexagonal Number Calculator

Work out hexagonal number instantly with clear inputs, formula shown and shareable results.

About Hexagonal Number Calculator

Hexagonal numbers are Hₙ = n(2n − 1) and count dots in nested hexagons. Every hexagonal number is also triangular, specifically H(n) = T(2n − 1).

Formula

Hexagonal number

Hₙ = n(2n − 1) = T(2n − 1)

Worked example

With the default values below, Hexagonal Number Calculator returns nth hexagonal number of 190. Change any input above and every figure here is recalculated in your browser.

Inputs used

Index naccepts 1–10,000,000
10
How many terms to listaccepts 1–20
6

Results

nth hexagonal number
190
Next hexagonal number
231
Matching triangular index 2n − 1
19
First terms of the sequence
1, 6, 15, 28, 45, 66

Step by step

  1. 1Values used
  2. 2Hexagonal number
  3. 3nth hexagonal number= 190
  4. 4Next hexagonal number= 231
  5. 5Matching triangular index 2n − 1= 19
  6. 6First terms of the sequence= 1, 6, 15, 28, 45, 66

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is the 10th hexagonal number?

10 × 19 = 190, which equals the 19th triangular number.

Are all triangular numbers hexagonal?

No, only those with odd index. T₄ = 10 is triangular but not hexagonal.

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Hexagonal Number Calculator – Calculate nth hexagonal number