5,600

[EECS]  5.6K(W) is one of standard numerical values for resistors (of tolerance class 5%).

 

5,610

[Math.]  0165×34 = 5,610.

 

5,625

[Math.]  Its odd powers end with 5625. Its even powers end with 0625.

 

5,665

[Math.]  5665 = 19+37+55+73+91.

 

5,671

[Math.]  A triangular number (sum of all integers from 1 to 106): 5671 = 1+2+…+105+106.

 

05,678

[Zip]  U.S. Postal Zip Code: Websterville, Vermont 05678.

 

5,693

[Math.]  A prime number.  

5,693 = 5555+6+99+33.

 

5,694

[Math.]  The equality 5694×3 = 17,082 uses each of 10 digits 0-9 once.

 

5,696

[Math.]  5,696 = 5555+66+9+66.

 

5,697

[Math.]  Each ratio 17658/2943 = 27918/4653 = 34182/5697 = 6, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #6.