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Harmonic Number Calculator

Result

Calculated result 2.928968254 Based on the values entered.
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Harmonic Number Calculator Calculate the Nth harmonic number. H(n) = 1 + 1/2 + 1/3 + ... + 1/n. — free online calculator.

Formula

Rule: H_n = Σ(1/i) for i = 1 to n.
  • Harmonic Number Calculator calculates its result from n. It uses the formula Calculated with the verified ST Calculator runtime.. Change any input to recalculate the result instantly.
  • The main inputs are n. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Harmonic Number

Inputs
  • n: 10

Using n = 10, the calculated result is 2.928968254.

Sample result: Calculating…

Frequently asked questions

What does the Harmonic Number calculate?

Harmonic Number Calculator Calculate the Nth harmonic number. H(n) = 1 + 1/2 + 1/3 + ... + 1/n. — free online calculator.

Which values should I enter?

Enter n using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Rule: H_n = Σ(1/i) for i = 1 to n..

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026