Kaprekar number

noun

A non-negative integer, the representation of whose square in its base can be split into two parts that add up to itself (such as 297, whose square, 88209, can be split into 88 and 209, totalling 297).

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounKaprekar number (plural Kaprekar numbers)

plural Kaprekar numbers

  1. mathematicsA non-negative integer, the representation of whose square in its base can be split into two parts that add up to itself (such as 297, whose square, 88209, can be split into 88 and 209, totalling 297).

Origin

After the Indian mathematician Dattaraya Ramchandra Kaprekar (1905-1986).

Full word history & related roots →
Cite this entry
APA

Kaprekar number. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Kaprekar%20number

MLA

“Kaprekar number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Kaprekar%20number. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Kaprekar number,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Kaprekar%20number.

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