Tag Archives: Birthday

Happy 192nd Birthday, U of T!

To commemorate the University of Toronto’s 192nd birthday I considered the number 192 and why – at least mathematically – it’s special.

A Wikipedia search of the number 192 came up with these reasons:

  • 192 is an even number.
  • 192 is the sum of ten consecutive primes – 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37. I like this one in particular.
  • 192 is a composite number, having as its factors 2 × 2 × 2 × 2 × 2 × 2 × 3; based on this factorization, it may also be seen to be a regular number – as its only prime factors are 2 and 3.
  • 192 is the smallest number with 14 divisors, namely 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, and 192 itself.
  • 192 is an abundant number, as the sum of its proper divisors (like, 319) is greater than 192.
  • 192 is a practical number, subsets of its divisors can be chosen to add to any number up to 192.
  • Based on its decimal expansion, 192 is a Harshad number (it is divisible by 1 + 9 + 2 = 12) and a happy number (repeatedly summing the squares of its digits leads from 192 to 86 to 100 to 1).

Those are the reasons why, mathematically speaking, the number 192 is special. Yet, why is U of T special?

Personally, I find U of T special for many reasons but ultimately, the most important reason is:

  • It brings together wonderful and diverse people from all over the world, not just to disseminate knowledge but also to share and cultivate in the advancement and development of new knowledge.

That said, here’s to wishing U of T a very happy 192nd Birthday!

Why is U of T special for you? Let us know in the comments below.