5,813

[Math.]  A prime number, formed by 3 consecutive Fibonacci numbers 5, 8 and 13.

 

5,817

[Math.]  The equality 5817×6 = 34,902 uses each of 10 digits 0-9 once.

 

5,823

[Math.]  Each ratio 17469/5823 = 17496/5832 = 3, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #3.

 

5,832

[Math.]  5832 = (5+8+3+2)3 = 183.

 

[Math.]  The 3rd and 4th power of 18 (183 = 5832 and 184 = 104,976 use each of 10 digits 0-9 once.

 

[Math.]  Each ratio 17469/5823 = 17496/5832 = 3, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #3.

 

5,839

[Math.]  A prime number.  The ratio 46712/5839 = 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.

 

5,851

[Math.]  58512 = 34,234,201.

 

5,857

[Math.]  A sequence of prime numbers: 5857, 6869, 7879 and 8887, each formed by 2 consecutive numbers, and their differences are 1012, 1010 and 1008.

 

5,872

[Math.]  5872 = 5555+88+7+222.

 

5,877

[Math.]  Two multiples of number 5877, 5877×5 = 29,385 and 5877×8 = 47,016, use each of 10 digits 0-9 once. Same as two multiples, 5877×9 = 52,893 and 5877×8 = 47,016.

 

5,886

[Math.]  A triangular number (sum of all integers from 1 to 108): 5886 = 1+2+…+107+108.

 

[Math.]  Two multiples of number 5886, 5886×3 = 17,658 and 5886×5 = 29,430, use each of 10 digits 0-9 once.

 

5,892

[Math.]  The ratio 47136/5892 = 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.