### Properties of the number 5800:

5800 = 2^{3}× 5

^{2}× 29 is the 5039

^{th}composite number and is not squarefree.

5800 has 3 distinct prime factors, 24 divisors, 11 antidivisors and 2240 totatives.

5800 has an emirp digit sum 13 in base 10.

5800 has a Fibonacci digit sum 13 in base 10.

5800 = 1451

^{2}- 1449

^{2}= 727

^{2}- 723

^{2}= 295

^{2}- 285

^{2}= 155

^{2}- 135

^{2}= 83

^{2}- 33

^{2}= 79

^{2}- 21

^{2}is the difference of 2 nonnegative squares in 6 ways.

5800 is the sum of 2 positive triangular numbers.

5800 is the difference of 2 positive pentagonal numbers in 3 ways.

5800 = 30

^{2}+ 70

^{2}= 38

^{2}+ 66

^{2}= 18

^{2}+ 74

^{2}is the sum of 2 positive squares in 3 ways.

5800 = 30

^{2}+ 42

^{2}+ 56

^{2}is the sum of 3 positive squares.

5800

^{2}= 3480

^{2}+ 4640

^{2}= 960

^{2}+ 5720

^{2}= 680

^{2}+ 5760

^{2}= 4000

^{2}+ 4200

^{2}= 2912

^{2}+ 5016

^{2}= 1624

^{2}+ 5568

^{2}= 2664

^{2}+ 5152

^{2}is the sum of 2 positive squares in 7 ways.

5800

^{2}is the sum of 3 positive squares.

5800 is a divisor of 349

^{2}- 1.

5800 is palindromic in (at least) the following bases: 36, 99, and -42.

5800 in base 3 = 21221211 and consists of only the digits '1' and '2'.

5800 in base 12 = 3434 and consists of only the digits '3' and '4'.

5800 in base 17 = 1313 and consists of only the digits '1' and '3'.

5800 in base 35 = 4pp and consists of only the digits '4' and 'p'.

5800 in base 36 = 4h4 and consists of only the digits '4' and 'h'.

### The number 5800 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A026054: dot_product(n,n-1,...2,1).(3,4,...,n,1,2).

A060488: Number of 4-block ordered tricoverings of an unlabeled n-set.

A082227: Main diagonal of array A082224.

A138992: a(n) = Frobenius number for 6 successive primes = F[p(n),p(n+1),p(n+2),p(n+3),p(n+4),p(n+5)].

A164770: Numbers n with property that average digit of n^2 is 2.

A184071: T(n,k)=Number of (n+1)X(k+1) binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

A211971: Column 0 of square array A211970 (in which column 1 is A000041).

A216046: Expansion of (chi(-x) / chi^3(-x^3))^2 in powers of x where chi() is a Ramanujan theta function.

A241343: Number of partitions p of n such that neither floor(mean(p)) nor ceiling(mean(p)) is a part.

A241515: Number of partitions of n such that (number parts having multiplicity 1) is a part or (number of parts > 1) is a part.

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