Showing posts with label centered square number. Show all posts
Showing posts with label centered square number. Show all posts

Monday, April 26, 2010

962

962 = 2 x 13 x 37.

962 has two representations as a sum of two squares: 962 = 12 + 312 = 112 + 292.

962 is 4242 in base 6 and 282 in base 20.

962 is the sum of three non-zero fourth powers: 962 = 34 + 44 + 54.

962 is a centered square number: 4n2 + 4n + 2, for n = 15.

The Porsche 962 was a sports-prototype racing car, first built in 1984.

Friday, July 17, 2009

545

545 = 5 x 109.

545 is a centered square number.

545 is the smallest palindrome resulting from the sum of an ascending sequence of consecutive primes with a descending sequence of the same primes as exponents: 27 + 35 + 53 + 72 = 545.

1*1! + 2*2! + 3*3! + . . . + 545*545! is a titanic prime.

545 has a base 3 representation (202012) that begins with its base 4 representation (20201).


545 people are said to govern the United States: 435 representatives, 100 senators, 1 president, and 9 justices of the Supreme Court.
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