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posted ago by penisse ago by penisse +18 / -0
  • 192 is an even number
  • 192 is the sum of ten consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37)
  • 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 (i.e., 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)

Here is Q drop #192: https://qalerts.app/?q=%23192

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