9,513   

[Math.]   9513 = 1359×7.

 

9,523   

[Math.]  The ratio 76184/9523 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

9,523   

[Math.]  Two multiples of number 9523, 9523×4 = 38,092 and 9523×5 = 47,615, use each of 10 digits 0-9 once.

 

9,531   

[Math.]  The ratio 76248/9531 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

9,538   

[Math.]  Two multiples of number 9538, 9538×4 = 38,152 and 9538×5 = 47,690, use each of 10 digits 0-9 once.

 

9,540   

[Math.]  Sum (in degrees) of all internal angles of a 55-side polygon.

 

9,541   

[Math.]  The ratio 76328/9541 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

9,551   

[Math.]  A prime number.  The 9551st prime number is 99,551.

 

9,563   

[Math.]  9563 = 9+5555+666+3333.

 

9,568   

[Math.]  9568 = 9+5+666+8888.

 

9,591  

[Math.]  A triangular number (sum of all integers from 1 to 138): 9591 = 1+2+…+137+138.

 

9,592   

[Math.] The number of prime numbers less than 100,000.