Number of the day: 5598

Properties of the number 5598:

5598 = 2 × 3² × 311 is the 4859^th composite number and is not squarefree.
5598 has 3 distinct prime factors, 12 divisors, 7 antidivisors and 1860 totatives.
5598 is the sum of 2 positive triangular numbers.
5598 is the difference of 2 positive pentagonal numbers in 2 ways.
5598 = 10² + 13² + 73² is the sum of 3 positive squares.
5598² is the sum of 3 positive squares.
5598 is a proper divisor of 1867³ - 1.
5598 is palindromic in (at least) the following bases: 21, and 26.
5598 in base 21 = cec and consists of only the digits 'c' and 'e'.
5598 in base 25 = 8nn and consists of only the digits '8' and 'n'.
5598 in base 26 = 878 and consists of only the digits '7' and '8'.
5598 in base 30 = 66i and consists of only the digits '6' and 'i'.

The number 5598 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008888: Aliquot sequence starting at 138.
A008889: Aliquot sequence starting at 150.
A011796: Number of irreducible alternating Euler sums of depth 6 and weight 6+2n.
A100436: Number of distinct products i*j*k for 1 <= i < j <= k <= n.
A108284: Triangle read by rows, related to A108283.
A114422: Riordan array (1/sqrt(1-2x-3x^2), M(x)-1) where M(x) is the g.f. of the Motzkin numbers A001006.
A132831: Largest terms a(n) forming a self-convolution of an integer sequence (A132832) such that: a(n) <= 2*a(n-1) for n>0 with a(0)=1.
A226936: Number T(n,k) of squares of size k^2 in all tilings of an n X n square using integer sided square tiles; triangle T(n,k), n>=1, 1<=k<=n, read by rows.
A230856: Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions.
A299267: Partial sums of A299266.