Number of the day: 5229

Properties of the number 5229:

5229 = 3² × 7 × 83 is the 4534^th composite number and is not squarefree.
5229 has 3 distinct prime factors, 12 divisors, 11 antidivisors and 2952 totatives.
5229 = 2615² - 2614² = 873² - 870² = 377² - 370² = 295² - 286² = 135² - 114² = 73² - 10² is the difference of 2 nonnegative squares in 6 ways.
5229 is the sum of 2 positive triangular numbers.
5229 is the difference of 2 positive pentagonal numbers in 1 way.
5229 = 5² + 50² + 52² is the sum of 3 positive squares.
5229² is the sum of 3 positive squares.
5229 is a proper divisor of 499³ - 1.
5229 = '5' + '229' is the concatenation of 2 prime numbers.
5229 is palindromic in (at least) the following bases: 39, and 82.
5229 in base 17 = 111a and consists of only the digits '1' and 'a'.
5229 in base 29 = 669 and consists of only the digits '6' and '9'.
5229 in base 38 = 3NN and consists of only the digits '3' and 'N'.
5229 in base 39 = 3H3 and consists of only the digits '3' and 'H'.

The number 5229 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A026049: a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6).
A057949: Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition.
A057950: Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition.
A067603: Least k such that the GCD( prime(k)+1, prime(k+1)+1 ) = 2n.
A074346: a(1) = 10; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A075645: Sums of groups in A075643.
A115921: Numbers n such that the decimal digits of phi(n) are a permutation of those of n.
A194270: D-toothpick sequence of the second kind (see Comments lines for definition).
A295990: Numbers n such that there are precisely 4 groups of orders n and n + 1.
A299254: Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3^4.6 2D tiling (cf. A250120).