Showing posts with label pyramidal number. Show all posts
Showing posts with label pyramidal number. Show all posts

Thursday, October 28, 2010

55

55 = 5 x 11.

55 is the tenth Fibonacci number.

55 is the tenth triangular number.

55 is a pyramidal number, the sum of the first five square numbers: 55 = 12 + 22 + 32 + 42 + 52.

55 is a number that cannot be written as a sum of three squares.

An emerald anniversary celebrates 55 years.

Source: Phillips, R. 2004. Numbers: Facts, Figures and Fiction. Badsey Publications.

Wednesday, October 27, 2010

140

140 = 22 x 5 x 7.

140 has a unique representation as a sum of three squares: 140 = 22 + 62 + 102.

140 is a square pyramidal number. It is the sum of the first seven squares: 140 = 12 + 22 + 32 + 42 + 52 + 62 + 72.


140 Siwa is a large, dark asteroid discovered in 1874.

Wednesday, November 11, 2009

506

506 = 2 x 11 x 23.

506 is a pronic number because it is the product of two consecutive integers: 22 x 23 = 506.

506 is the sum of the first eleven squares: 12 + 22 + . . . + 102 + 112 = 506 (which makes it a square pyramidal number).

506 is a hendecagonal number.


The telephone area code 506 covers the Canadian province of New Brunswick.

Source: Number Gossip

Wednesday, June 17, 2009

650

650 = 2 x 52 x 13.

650 is a pronic number. It is the product of two consecutive integers: 25 x 26 = 650.

650 is the sum of the first 12 squares. Hence, it is a pyramidal number.

650 is 22022 in base 4 and 1616 in base 7.


In the 1950s, advanced features of the IBM 650 Magnetic Drum Data Processing Machine brought increased reliability to the young field of electronic computing.

Source: Number Gossip

Monday, May 11, 2009

30

30 = 2 x 3 x 5.

30 is the smallest number with three distinct prime divisors.

30 has a unique representation as a sum of three squares: 30 = 12 + 22 + 52.

30 is a pyramidal number (the sum of all squares of integers from 1 to 4): 30 = 12 + 22 + 32 + 42.

30 is 33 in base 9.


A dodecahedron is a Platonic solid with 30 edges.


Source:
Number Gossip
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