Number of the day: 8088

Properties of the number 8088:

8088 = 2³ × 3 × 337 is the 7071^th composite number and is not squarefree.
8088 has 3 distinct prime factors, 16 divisors, 9 antidivisors and 2688 totatives.
8088 = 2023² - 2021² = 1013² - 1009² = 677² - 671² = 343² - 331² is the difference of 2 nonnegative squares in 4 ways.
8088 is the sum of 2 positive triangular numbers.
8088 = 4² + 26² + 86² is the sum of 3 positive squares.
8088² = 4200² + 6912² is the sum of 2 positive squares in 1 way.
8088² is the sum of 3 positive squares.
8088 is a proper divisor of 673² - 1.
8088 is palindromic in (at least) the following bases: 23, 43, 49, -25, -47, and -55.
8088 consists of only the digits '0' and '8'.
8088 in base 23 = f6f and consists of only the digits '6' and 'f'.
8088 in base 42 = 4OO and consists of only the digits '4' and 'O'.
8088 in base 43 = 4G4 and consists of only the digits '4' and 'G'.
8088 in base 48 = 3OO and consists of only the digits '3' and 'O'.
8088 in base 49 = 3I3 and consists of only the digits '3' and 'I'.

The number 8088 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006951: Number of conjugacy classes in GL(n,2).
A035937: Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.
A084832: Numbers n such that 2*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.
A101198: Number of partitions of n with rank 1 (the rank of a partition is the largest part minus the number of parts).
A114615: Starting numbers for which the RATS sequence has eventual period 14.
A204095: Numbers whose set of base 10 digits is {0,8}.
A266493: T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west, northwest or northeast neighbor modulo n and the upper left element equal to 0.
A274471: Numbers missing from A134419 despite satisfying the necessary congruence conditions (see comments).
A292738: Numbers in which 8 outnumbers all other digits together.
A293100: T(n,k)=Number of nXk 0..1 arrays with the number of 1s horizontally, diagonally or antidiagonally adjacent to some 0 two less than the number of 0s adjacent to some 1.