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?
Showing posts with label Catalan number. Show all posts
Showing posts with label Catalan number. Show all posts
Monday, March 4, 2013
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.
Source: Number Gossip
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.
Labels:
Catalan number,
sphenic number
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