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271 (number)

Natural number

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complete sections 12.44
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Words
95
Native text
832 characters
Dictionary match
79%
Revision
1353488081 · 2026-05-10T15:44:46Z
Key vocabulary

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prime9 uses in this article number6 uses in this article bracketed2 uses in this article numbers2 uses in this article after2 uses in this article cubes2 uses in this article multiplicative1 uses in this article consecutive1 uses in this article seventy-one1 uses in this article difference1 uses in this article divisible1 uses in this article hexagonal1 uses in this article centered1 uses in this article counting1 uses in this article integers1 uses in this article decimal1 uses in this article hundred1 uses in this article inverse1 uses in this article natural1 uses in this article repunit1 uses in this article

Overview

271 (two hundred and seventy-one) is the natural number after and before .

Properties

271 is a twin prime with 269, a cuban prime (a prime number that is the difference of two consecutive cubes), and a centered hexagonal number. It is the smallest prime number bracketed on both sides by numbers divisible by cubes, and the smallest prime number bracketed by numbers with five primes (counting repetitions) in their factorizations: : 270=2\cdot 3^3\cdot 5 and 272=2^4\cdot 17 . After 7, 271 is the second-smallest Eisenstein–Mersenne prime, one of the analogues of the Mersenne primes in the Eisenstein integers. 271 is the largest prime factor of the five-digit repunit 11111, and the largest prime number for which the decimal period of its multiplicative inverse is 5: : \frac 1 271 =0.00369003690036900369\ldots It is a sexy prime with 277.

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