Number of the day: 7299

Properties of the number 7299:

7299 = 3² × 811 is the 6368^th composite number and is not squarefree.
7299 has 2 distinct prime factors, 6 divisors, 9 antidivisors and 4860 totatives.
7299 = 3650² - 3649² = 1218² - 1215² = 410² - 401² is the difference of 2 nonnegative squares in 3 ways.
7299 is the difference of 2 positive pentagonal numbers in 1 way.
7299 = 5² + 7² + 85² is the sum of 3 positive squares.
7299² is the sum of 3 positive squares.
7299 is a proper divisor of 1621² - 1.
7299 is palindromic in (at least) the following bases: 33, 48, 82, -20, -30, -57, and -89.
7299 in base 3 = 101000100 and consists of only the digits '0' and '1'.
7299 in base 9 = 11010 and consists of only the digits '0' and '1'.
7299 in base 33 = 6n6 and consists of only the digits '6' and 'n'.
7299 in base 47 = 3EE and consists of only the digits '3' and 'E'.
7299 in base 48 = 383 and consists of only the digits '3' and '8'.

The number 7299 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A007326: Difference between A000294 and the number of solid partitions of n (A000293).
A033046: Sums of distinct powers of 9.
A036492: Offsets for the Atkin Partition Congruence theorem.
A121304: Number of parts in all the compositions of n into primes (i.e., in all ordered sequences of primes having sum n).
A152728: a(n)+a(n+1)+a(n+2)=n^3.
A177817: Numbers n such that n^3 divides 17^(n^2)+1.
A206920: Sum of the first n binary palindromes; a(n) = sum(k=1..n, A006995(k)).
A226627: Irregular array read by rows. a(n) is the smallest starting value of a T_k trajectory that includes A226623(n), where T_k is the Collatz-like 3x-k function associated with A226623(n).
A239459: Concatenation of n^3 and n.
A262759: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits.