In Mathematics
- 195 is an odd number
- 195 is a composite number
- 195 is a deficient number, as 141 is less than 195
- 195 is a Harshad number
- 195 is a lucky number
- 195 is a sphenic number, in the middle of the prime quadruplet 191, 193, 197 and 199
- 195 is a square-free number
- 195 is the sum of eleven consecutive primes: 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37
- Although not itself prime, 195 passes through Ulam's sieve and thus is a lucky number
- Divisors of 195: 1, 3, 5, 13, 15, 39, 65, 195
- 195 is the smallest number expressed as a sum of distinct squares in 16 different ways (sequence A097563 in OEIS)
- 195 is both a 21-gonal and 66-gonal number
Read more about this topic: 195 (number)
Famous quotes containing the word mathematics:
“It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.”
—George Bernard Shaw (1856–1950)
“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)