In Mathematics
- 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 (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. It is an abundant number, as the sum of its proper divisors is 316 which is greater than 192, and 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).
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Famous quotes containing the word mathematics:
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)
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—John Adams (1735–1826)