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

Monday, March 4, 2013

1700

1700 = 2 x 2 x 5 x 5 x 17.

1700 is 11010100100 in base 2 (binary).

1700 is the generalized Catalan numer C(13, 4) (A039598).

1700 is 4646 in base 7. It is 2288 in base 9 and A0A in base 13.

1700 has three representations as a sum of two squares (A000443): 1700 = 102 + 402 = 162 + 382 = 262 + 322.


Source: What's Special About This Number?

Tuesday, November 22, 2011

132

132 = 22 x 3 x 11.

The sum of all two-digit numbers that you can make from 132 is 132: 12 + 13 + 21 + 23 + 31 + 32 = 132. It is the smallest number with this property.

132 is the sixth Catalan number.

132 is a divisor of 232 - 1.

The game board for Indian snakes and ladders (Moksha Patamu) has 132 squares.

Thursday, February 10, 2011

429

429 = 3 x 11 x 13.

429 is the seventh Catalan number.

429 is a divisor of 1003 - 1.

The sum of the digits of 429 is five times the number of digits: 4 + 2 + 9 = 15 = 5 x 3.

The sum of the fourth powers of the factors of 429 is a prime: 34 + 114 + 134 = 43283.

The 429 Records label in indie rock/pop and adult alternative music, with a roster that includes Dr. John, Joan Armatrading, and Mick Fleetwood.