213 (number)

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213 (two hundred and thirteen) is the number following 212 and preceding 214.

It is the smallest of a triple consecutive numbers that are products of two distinct prime numbers: 213 = 3 × 71, 214 = 2 × 107, and 215 = 5 × 43.[1] Its square is a sum of distinct factorials: 2132 = 45369 = 1! + 2! + 3! + 7! + 8!.[2]

See also

References

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ca:Nombre 210#Nombres del 211 al 219

  1. "Sloane's A039833 : Smallest of three consecutive squarefree numbers n, n+1, n+2 of the form p*q where p and q are primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
  2. "Sloane's A014597 : Numbers n such that n^2 is a sum of distinct factorials", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..