Thursday, September 1, 2011

367

367 is a prime number.

367 is a prime number whose digits are distinct and, expressed in English, are in reverse alphabetical order.

367 is the sum of two consecutive composite numbers: 367 = 183 + 184.

367 is the largest number whose square has strictly increasing digits: 3672 = 134,689.

367 is 11233 in base 4. It is 557 in base 8 and 447 in base 9. It is 267 in base 12, 197 in base 15, and 127 in base 18.

The Pythagorean Proposition, by early 20th-century professor Elisha Scott Loomis, is a collection of 367 proofs of the Pythagorean theorem.

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