227 (number)

Last updated
← 226 227 228 →
Cardinal two hundred twenty-seven
Ordinal 227th
(two hundred twenty-seventh)
Factorization prime
Prime yes
Greek numeral ΣΚΖ´
Roman numeral CCXXVII
Binary 111000112
Ternary 221023
Senary 10156
Octal 3438
Duodecimal 16B12
Hexadecimal E316

227 (two hundred [and] twenty-seven) is the natural number between 226 and 228. It is also a prime number.

In mathematics

227 is a twin prime and the start of a prime triplet (with 229 and 233). [1] It is a safe prime, as dividing it by two and rounding down produces the Sophie Germain prime 113. [2] It is also a regular prime, [3] a Pillai prime, [4] a Stern prime, [5] and a Ramanujan prime. [6]

227 and 229 form the first twin prime pair for which neither is a cluster prime.

The 227th harmonic number is the first to exceed six. [7] There are 227 different connected graphs with eight edges, [8] and 227 independent sets in a 3 × 4 grid graph. [9]

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400 is the natural number following 399 and preceding 401.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

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229 is the natural number following 228 and preceding 230.

<span class="mw-page-title-main">1,000,000</span> Natural number

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177 is the natural number following 176 and preceding 178.

277 is the natural number following 276 and preceding 278.

228 is the natural number following 227 and preceding 229.

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA022004(Initial members of prime triples (p, p+2, p+6))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA005385(Safe primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA007703(Regular primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA063980(Pillai primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. ↑ Sloane, N. J. A. (ed.). "SequenceA042978(Stern primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  6. ↑ Sloane, N. J. A. (ed.). "SequenceA104272(Ramanujan primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  7. ↑ Sloane, N. J. A. (ed.). "SequenceA002387(Least k such that H(k) > n, where H(k) is the harmonic number sum_{i=1..k} 1/i)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  8. ↑ Sloane, N. J. A. (ed.). "SequenceA002905(Number of connected graphs with n edges)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  9. ↑ Sloane, N. J. A. (ed.). "SequenceA051736(Number of 3 x n (0,1)-matrices with no consecutive 1's in any row or column)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
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