Phrase guide

harmonic number

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, number-theory, sciences

Examples

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

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

2 source translations are retained for this English entry.

  • Italian: numero armonico — number
  • Japanese: 調和数 — number