harmonic number

noun

Any of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers

“The fourth harmonic number has a value of H_3=∑ₖ₌₁³1/k=1/1+1/2+1/3=1 5/6.”

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Meanings

nounharmonic number (plural harmonic numbers)

plural harmonic numbers

  1. mathematicsAny of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers

    The fourth harmonic number has a value of H_3=∑ₖ₌₁³1/k=1/1+1/2+1/3=1 5/6.

Translations

Italian numero armonico
  • numero armoniconumber
Japanese 調和数
  • 調和数number
Cite this entry
APA

harmonic number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/harmonic%20number

MLA

“harmonic number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/harmonic%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “harmonic number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/harmonic%20number.

Source: harmonic number on Wiktionary, CC BY-SA 4.0.