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Geeksforgeeks · Technology · 2026-08-16

Carol Number

A Carol number is an integer of the form: 4n - 2(n+1) - 1. It can also be written as: (2n - 1)2 - 2.Interesting Property: For n > 2, its binary representation contains n-2 consecutive 1s, followed by a single 0, and then n+1 consecutive 1s. For example, n = 4 gives 223,

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