40,000 Views!

(Graphic: Grok)

Celebrating this blog's 40,000th view. Here are some interesting numbers close to 40,000 from Wikipedia (interestingly, all facts of these numbers were from the OEIS):

40001 to 40999

• 40320 = smallest factorial (8!) that is not a highly composite number
• 40425 = square pyramidal number
• 40585 = largest factorion^[1]
• 40678 = pentagonal pyramidal number
• 40755 = the smallest number >1 to be a Triangular number, Pentagonal number, and a Hexagonal number.^[2] Additionally, it's a 390-gonal, 4077-gonal, and 13586-gonal number.^[3][4][5]
• 40804 = palindromic square
  
  1.  "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  2.  "A046180 - OEIS". oeis.org. Retrieved 2024-12-18.
  3. Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4.  Sloane, N. J. A. (ed.). "Sequence A000326 (Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.