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271 (number)

From HandWiki - Reading time: 2 min

Short description: Natural number
← 270 271 272 →
Cardinaltwo hundred seventy-one
Ordinal271st
(two hundred seventy-first)
Factorizationprime
Primeyes
Greek numeralΣΟΑ´
Roman numeralCCLXXI
Binary1000011112
Ternary1010013
Quaternary100334
Quinary20415
Senary11316
Octal4178
Duodecimal1A712
Hexadecimal10F16
VigesimalDB20
Base 367J36

271 (two hundred [and] seventy-one) is the natural number after 270 and before 272.

Properties

271 is a twin prime with 269,[1] a cuban prime (a prime number that is the difference of two consecutive cubes),[2] and a centered hexagonal number.[3] It is the smallest prime number bracketed on both sides by numbers divisible by cubes,[4] and the smallest prime number bracketed by numbers with five primes (counting repetitions) in their factorizations:[5]

270=2335 and 272=2417.

After 7, 271 is the second-smallest Eisenstein–Mersenne prime, one of the analogues of the Mersenne primes in the Eisenstein integers.[6]

271 is the largest prime factor of the five-digit repunit 11111,[7] and the largest prime number for which the decimal period of its multiplicative inverse is 5:[8]

1271=0.00369003690036900369

It is a sexy prime with 277.

References




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