Number of the day: 7318

Properties of the number 7318:

7318 = 2 × 3659 is semiprime and squarefree.
7318 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 3658 totatives.
7318 has a prime digit sum 19 in base 10.
Reversing the decimal digits of 7318 results in an emirpimes.
7318 is the sum of 2 positive triangular numbers.
7318 is the difference of 2 positive pentagonal numbers in 2 ways.
7318 = 9² + 26² + 81² is the sum of 3 positive squares.
7318² is the sum of 3 positive squares.
7318 is a proper divisor of 557³¹ - 1.
7318 is an emirpimes in (at least) the following bases: 3, 5, 6, 8, 10, 13, 15, 17, 21, 22, 23, 25, 27, 31, 32, 36, 41, 47, 52, 55, 56, 61, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 88, 94, 95, and 98.
7318 is palindromic in (at least) the following bases: 20, 59, -28, -46, -55, and -62.
7318 in base 3 = 101001001 and consists of only the digits '0' and '1'.
7318 in base 11 = 5553 and consists of only the digits '3' and '5'.
7318 in base 20 = i5i and consists of only the digits '5' and 'i'.
7318 in base 27 = a11 and consists of only the digits '1' and 'a'.
7318 in base 28 = 99a and consists of only the digits '9' and 'a'.
7318 in base 58 = 2AA and consists of only the digits '2' and 'A'.
7318 in base 59 = 262 and consists of only the digits '2' and '6'.

The number 7318 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001372: Number of mappings (or mapping patterns) from n points to themselves; number of endofunctions.
A042161: Denominators of continued fraction convergents to sqrt(605).
A046746: Sum of smallest parts of all partitions of n.
A141689: Average of Eulerian numbers (A008292) and Pascal's triangle (A007318): t(n,m) = (A008292(n,m) + A007318(n,m))/2.
A212069: Number of (w,x,y,z) with all terms in {1,...,n} and 3*w = x+y+z.
A218563: Numbers n such that n^2 + 1 is divisible by a 4th power.
A218564: Numbers n such that n^2 + 1 is divisible by a 5th power.
A278616: Sum of terms in level n of TRIP -Stern sequence associated with permutation triple (e,13,132).
A323530: Number of square plane partitions of n with strictly decreasing rows and columns.
A325882: Bases b where exactly six primes p with p < b exist such that p is a base-b Wieferich prime.