Number of the day: 5508

Properties of the number 5508:

5508 = 2² × 3⁴ × 17 is the 4779^th composite number and is not squarefree.
5508 has 3 distinct prime factors, 30 divisors, 13 antidivisors and 1728 totatives.
5508 = 1378² - 1376² = 462² - 456² = 162² - 144² = 98² - 64² = 78² - 24² is the difference of 2 nonnegative squares in 5 ways.
5508 = 18² + 72² is the sum of 2 positive squares in 1 way.
5508 = 16² + 34² + 64² is the sum of 3 positive squares.
5508² = 2592² + 4860² is the sum of 2 positive squares in 1 way.
5508² is the sum of 3 positive squares.
5508 is a proper divisor of 647² - 1.
5508 is palindromic in (at least) the following bases: 25, 80, and -23.
5508 in base 18 = h00 and consists of only the digits '0' and 'h'.
5508 in base 22 = b88 and consists of only the digits '8' and 'b'.
5508 in base 25 = 8k8 and consists of only the digits '8' and 'k'.

The number 5508 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001392: a(n) = 9*binomial(2n,n-4)/(n+5).
A005557: Number of walks on square lattice.
A039599: Triangle formed from even-numbered columns of triangle of expansions of powers of x in terms of Chebyshev polynomials U_n(x).
A045991: a(n) = n^3 - n^2.
A075268: Trajectory of 442 under the Reverse and Add! operation carried out in base 2.
A179669: Products of form p^4*q^2*r where p, q and r are three distinct primes.
A187738: G.f.: Sum_{n>=0} (3*n+1)^n * x^n / (1 + (3*n+1)*x)^n.
A244630: 17*n^2.
A246099: Paradigm shift sequence for (4,5) production scheme with replacement.
A252514: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7