Monday, September 23, 2013

3604

3604 = 2 x 2 x 17 x 53.

3604 and its reversal (4063) are each multiples of 17 (A062906 and A062915).

3604 has two representations as a sum of two squares: 3604 = 22 + 602 = 302 + 522.

3604 is a divisor of 838 - 1.

3604 is 11221111 in base 3. It is 103404 in base 4 and 24404 in base 5. It is 2104 in base 12 and 1104 in base 15.

3604 is the number of ways to cover (without overlapping) a ring lattice (necklace) of 36 sites with molecules that are 7 sites wide (A058366).


Source: On-Line Encyclopedia of Integer Sequences

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